464152353770400 has 144 divisors (see below), whose sum is σ = 1533365403270624. Its totient is φ = 121926588410880.

The previous prime is 464152353770359. The next prime is 464152353770431. The reversal of 464152353770400 is 4077353251464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443099007 + ... + 1443420606.

It is an arithmetic number, because the mean of its divisors is an integer number (10648370856046).

Almost surely, 2^{464152353770400} is an apocalyptic number.

464152353770400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464152353770400 is an abundant number, since it is smaller than the sum of its proper divisors (1069213049500224).

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

464152353770400 is a wasteful number, since it uses less digits than its factorization.

464152353770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886519703 (or 2886519690 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 464152353770400 in words is "four hundred sixty-four trillion, one hundred fifty-two billion, three hundred fifty-three million, seven hundred seventy thousand, four hundred".