464401751100040 has 32 divisors (see below), whose sum is σ = 1125281166128280. Its totient is φ = 171471415790592.

The previous prime is 464401751099971. The next prime is 464401751100041. The reversal of 464401751100040 is 40001157104464.

It can be written as a sum of positive squares in 4 ways, for example, as 217673493152644 + 246728257947396 = 14753762^2 + 15707586^2 .

It is not an unprimeable number, because it can be changed into a prime (464401751100041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446540144769 + ... + 446540145808.

Almost surely, 2^{464401751100040} is an apocalyptic number.

464401751100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464401751100040 is an abundant number, since it is smaller than the sum of its proper divisors (660879415028240).

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

464401751100040 is a wasteful number, since it uses less digits than its factorization.

464401751100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893080290601 (or 893080290597 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 464401751100040 in words is "four hundred sixty-four trillion, four hundred one billion, seven hundred fifty-one million, one hundred thousand, forty".