445117377600 has 672 divisors, whose sum is σ = 1952046489600. Its totient is φ = 96385075200.

The previous prime is 445117377599. The next prime is 445117377631. The reversal of 445117377600 is 6773711544.

445117377600 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 1 + 7 + 37 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5706865 + ... + 5784335.

Almost surely, 2^445117377600 is an apocalyptic number.

445117377600 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 445117377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976023244800).

445117377600 is an abundant number, since it is smaller than the sum of its proper divisors (1506929112000).

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

445117377600 is a wasteful number, since it uses less digits than its factorization.

445117377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77528 (or 77507 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 445117377600 in words is "four hundred forty-five billion, one hundred seventeen million, three hundred seventy-seven thousand, six hundred".