44672653440 has 672 divisors, whose sum is σ = 168309299340. Its totient is φ = 11331809280.

The previous prime is 44672653429. The next prime is 44672653451. The reversal of 44672653440 is 4435627644.

44672653440 is a `hidden beast` number, since 4 + 4 + 6 + 72 + 6 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (44672653429) and next prime (44672653451).

It can be written as a sum of positive squares in 2 ways, for example, as 37539837504 + 7132815936 = 193752^2 + 84456^2 .

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 83 ways as a sum of consecutive naturals, for example, 246810150 + ... + 246810330.

Almost surely, 2^44672653440 is an apocalyptic number.

44672653440 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 44672653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84154649670).

44672653440 is an abundant number, since it is smaller than the sum of its proper divisors (123636645900).

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

44672653440 is an equidigital number, since it uses as much as digits as its factorization.

44672653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 44672653440 in words is "forty-four billion, six hundred seventy-two million, six hundred fifty-three thousand, four hundred forty".