1360642440 has 192 divisors, whose sum is σ = 4447915200. Its totient is φ = 331817472.

The previous prime is 1360642429. The next prime is 1360642453. The reversal of 1360642440 is 442460631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1360642398 and 1360642407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10713657 + ... + 10713783.

It is an arithmetic number, because the mean of its divisors is an integer number (23166225).

Almost surely, 2^1360642440 is an apocalyptic number.

1360642440 is a gapful number since it is divisible by the number (10) 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 1360642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223957600).

1360642440 is an abundant number, since it is smaller than the sum of its proper divisors (3087272760).

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

1360642440 is a wasteful number, since it uses less digits than its factorization.

1360642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1360642440 is about 36886.8871009740. The cubic root of 1360642440 is about 1108.1060796749.

The spelling of 1360642440 in words is "one billion, three hundred sixty million, six hundred forty-two thousand, four hundred forty".