445021052520000 has 1120 divisors, whose sum is σ = 1627650481121280. Its totient is φ = 106372131840000.

The previous prime is 445021052519983. The next prime is 445021052520019. The reversal of 445021052520000 is 25250120544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 445021052520000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88950837499 + ... + 88950842501.

It is an arithmetic number, because the mean of its divisors is an integer number (1453259358144).

Almost surely, 2^{445021052520000} is an apocalyptic number.

445021052520000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445021052520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813825240560640).

445021052520000 is an abundant number, since it is smaller than the sum of its proper divisors (1182629428601280).

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

445021052520000 is a wasteful number, since it uses less digits than its factorization.

445021052520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 445021052520000 in words is "four hundred forty-five trillion, twenty-one billion, fifty-two million, five hundred twenty thousand".