6056353440 has 144 divisors (see below), whose sum is σ = 21334150656. Its totient is φ = 1562918400.

The previous prime is 6056353427. The next prime is 6056353453. The reversal of 6056353440 is 443536506.

6056353440 is a `hidden beast` number, since 6 + 0 + 563 + 53 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6056353427) and next prime (6056353453).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6056353395 and 6056353404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23196 + ... + 112475.

It is an arithmetic number, because the mean of its divisors is an integer number (148153824).

Almost surely, 2^6056353440 is an apocalyptic number.

6056353440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667075328).

6056353440 is an abundant number, since it is smaller than the sum of its proper divisors (15277797216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6056353440 is a wasteful number, since it uses less digits than its factorization.

6056353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135723 (or 135712 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 6056353440 is about 77822.5766728396. The cubic root of 6056353440 is about 1822.7918187843.

Adding to 6056353440 its reverse (443536506), we get a palindrome (6499889946).

It can be divided in two parts, 60563 and 53440, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 6056353440 in words is "six billion, fifty-six million, three hundred fifty-three thousand, four hundred forty".