464400311204640 has 48 divisors (see below), whose sum is σ = 1462860980296128. Its totient is φ = 123840082987776.

The previous prime is 464400311204639. The next prime is 464400311204651. The reversal of 464400311204640 is 46402113004464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483750323692 + ... + 483750324651.

It is an arithmetic number, because the mean of its divisors is an integer number (30476270422836).

Almost surely, 2^{464400311204640} is an apocalyptic number.

464400311204640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464400311204640 is an abundant number, since it is smaller than the sum of its proper divisors (998460669091488).

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

464400311204640 is a wasteful number, since it uses less digits than its factorization.

464400311204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967500648361 (or 967500648353 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 464400311204640 in words is "four hundred sixty-four trillion, four hundred billion, three hundred eleven million, two hundred four thousand, six hundred forty".