482616337674240 has 2496 divisors, whose sum is σ = 2204318598128640. Its totient is φ = 100278897868800.

The previous prime is 482616337674169. The next prime is 482616337674287. The reversal of 482616337674240 is 42476733616284.

482616337674240 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 16 + 3 + 376 + 7 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24141670645 + ... + 24141690635.

Almost surely, 2^{482616337674240} is an apocalyptic number.

482616337674240 is a gapful number since it is divisible by the number (40) 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 482616337674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102159299064320).

482616337674240 is an abundant number, since it is smaller than the sum of its proper divisors (1721702260454400).

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

482616337674240 is an equidigital number, since it uses as much as digits as its factorization.

482616337674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20066 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 482616337674240 in words is "four hundred eighty-two trillion, six hundred sixteen billion, three hundred thirty-seven million, six hundred seventy-four thousand, two hundred forty".