44457460947200 has 1296 divisors, whose sum is σ = 136971000461568. Its totient is φ = 13987676160000.

The previous prime is 44457460947197. The next prime is 44457460947227. The reversal of 44457460947200 is 274906475444.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 142950035045 + ... + 142950035355.

Almost surely, 2^{44457460947200} is an apocalyptic number.

44457460947200 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 44457460947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68485500230784).

44457460947200 is an abundant number, since it is smaller than the sum of its proper divisors (92513539514368).

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

44457460947200 is a wasteful number, since it uses less digits than its factorization.

44457460947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 56.

The spelling of 44457460947200 in words is "forty-four trillion, four hundred fifty-seven billion, four hundred sixty million, nine hundred forty-seven thousand, two hundred".