464096005440 has 112 divisors (see below), whose sum is σ = 1473824555520. Its totient is φ = 123732080640.

The previous prime is 464096005421. The next prime is 464096005453. The reversal of 464096005440 is 44500690464.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 464096005392 and 464096005401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4587726 + ... + 4687794.

Almost surely, 2^464096005440 is an apocalyptic number.

464096005440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464096005440 is an abundant number, since it is smaller than the sum of its proper divisors (1009728550080).

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

464096005440 is a wasteful number, since it uses less digits than its factorization.

464096005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104920 (or 104910 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 464096005440 in words is "four hundred sixty-four billion, ninety-six million, five thousand, four hundred forty".