6354541440 has 384 divisors, whose sum is σ = 23871818880. Its totient is φ = 1548288000.

The previous prime is 6354541433. The next prime is 6354541441. The reversal of 6354541440 is 441454536.

6354541440 is a `hidden beast` number, since 63 + 5 + 454 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 6354541395 and 6354541404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6354541441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8461065 + ... + 8461815.

It is an arithmetic number, because the mean of its divisors is an integer number (62166195).

Almost surely, 2^6354541440 is an apocalyptic number.

6354541440 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 6354541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935909440).

6354541440 is an abundant number, since it is smaller than the sum of its proper divisors (17517277440).

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

6354541440 is a wasteful number, since it uses less digits than its factorization.

6354541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6354541440 is about 79715.3776883733. The cubic root of 6354541440 is about 1852.2292522846.

Adding to 6354541440 its reverse (441454536), we get a palindrome (6795995976).

The spelling of 6354541440 in words is "six billion, three hundred fifty-four million, five hundred forty-one thousand, four hundred forty".