445097942520 has 512 divisors, whose sum is σ = 1707982848000. Its totient is φ = 91985779200.

The previous prime is 445097942507. The next prime is 445097942537. The reversal of 445097942520 is 25249790544.

It is a super-2 number, since 2×445097942520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86474587 + ... + 86479733.

It is an arithmetic number, because the mean of its divisors is an integer number (3335904000).

Almost surely, 2^445097942520 is an apocalyptic number.

445097942520 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 445097942520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853991424000).

445097942520 is an abundant number, since it is smaller than the sum of its proper divisors (1262884905480).

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

445097942520 is a wasteful number, since it uses less digits than its factorization.

445097942520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 445097942520 in words is "four hundred forty-five billion, ninety-seven million, nine hundred forty-two thousand, five hundred twenty".