445440354144000 has 144 divisors (see below), whose sum is σ = 1479530136608160. Its totient is φ = 118784094412800.

The previous prime is 445440354143989. The next prime is 445440354144113. The reversal of 445440354144000 is 441453044544.

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, 2319905845 + ... + 2320097844.

Almost surely, 2^{445440354144000} is an apocalyptic number.

445440354144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445440354144000 is an abundant number, since it is smaller than the sum of its proper divisors (1034089782464160).

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

445440354144000 is an equidigital number, since it uses as much as digits as its factorization.

445440354144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640003723 (or 4640003699 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

The spelling of 445440354144000 in words is "four hundred forty-five trillion, four hundred forty billion, three hundred fifty-four million, one hundred forty-four thousand".