444377606400 has 1296 divisors, whose sum is σ = 2070822708864. Its totient is φ = 88225873920.

The previous prime is 444377606369. The next prime is 444377606459. The reversal of 444377606400 is 4606773444.

444377606400 is a `hidden beast` number, since 4 + 4 + 4 + 37 + 7 + 606 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 89104707 + ... + 89109693.

Almost surely, 2^444377606400 is an apocalyptic number.

444377606400 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 444377606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035411354432).

444377606400 is an abundant number, since it is smaller than the sum of its proper divisors (1626445102464).

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

444377606400 is a wasteful number, since it uses less digits than its factorization.

444377606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 444377606400 in words is "four hundred forty-four billion, three hundred seventy-seven million, six hundred six thousand, four hundred".