468709865920440 has 64 divisors (see below), whose sum is σ = 1562366219738400. Its totient is φ = 124989297578496.

The previous prime is 468709865920423. The next prime is 468709865920531. The reversal of 468709865920440 is 44029568907864.

468709865920440 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 0 + 98 + 6 + 5 + 92 + 0 + 440 = 666.

It is a super-2 number, since 2×468709865920440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216995307217 + ... + 216995309376.

Almost surely, 2^{468709865920440} is an apocalyptic number.

468709865920440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468709865920440 is an abundant number, since it is smaller than the sum of its proper divisors (1093656353817960).

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

468709865920440 is a wasteful number, since it uses less digits than its factorization.

468709865920440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433990616613 (or 433990616603 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 468709865920440 in words is "four hundred sixty-eight trillion, seven hundred nine billion, eight hundred sixty-five million, nine hundred twenty thousand, four hundred forty".