320145464400 has 60 divisors (see below), whose sum is σ = 1025532641472. Its totient is φ = 85372123520.

The previous prime is 320145464383. The next prime is 320145464413. The reversal of 320145464400 is 4464541023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133392744 + ... + 133395143.

Almost surely, 2^320145464400 is an apocalyptic number.

320145464400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320145464400 is an abundant number, since it is smaller than the sum of its proper divisors (705387177072).

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

320145464400 is a wasteful number, since it uses less digits than its factorization.

320145464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266787908 (or 266787897 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 320145464400 in words is "three hundred twenty billion, one hundred forty-five million, four hundred sixty-four thousand, four hundred".