1359931474440 has 2304 divisors, whose sum is σ = 6215806771200. Its totient is φ = 253957939200.

The previous prime is 1359931474427. The next prime is 1359931474477. The reversal of 1359931474440 is 444741399531.

It is a happy number.

1359931474440 is a `hidden beast` number, since 1 + 3 + 59 + 9 + 3 + 147 + 4 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8343137799 + ... + 8343137961.

It is an arithmetic number, because the mean of its divisors is an integer number (2697832800).

Almost surely, 2^{1359931474440} is an apocalyptic number.

1359931474440 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 1359931474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107903385600).

1359931474440 is an abundant number, since it is smaller than the sum of its proper divisors (4855875296760).

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

1359931474440 is a wasteful number, since it uses less digits than its factorization.

1359931474440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1359931474440 in words is "one trillion, three hundred fifty-nine billion, nine hundred thirty-one million, four hundred seventy-four thousand, four hundred forty".