445142622361920 has 896 divisors, whose sum is σ = 1744897831772160. Its totient is φ = 93890922577920.

The previous prime is 445142622361907. The next prime is 445142622362027. The reversal of 445142622361920 is 29163226241544.

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, 801935994 + ... + 802490886.

Almost surely, 2^{445142622361920} is an apocalyptic number.

445142622361920 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 445142622361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872448915886080).

445142622361920 is an abundant number, since it is smaller than the sum of its proper divisors (1299755209410240).

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

445142622361920 is a wasteful number, since it uses less digits than its factorization.

445142622361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555103 (or 555093 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 445142622361920 in words is "four hundred forty-five trillion, one hundred forty-two billion, six hundred twenty-two million, three hundred sixty-one thousand, nine hundred twenty".