40653981388800 has 1560 divisors, whose sum is σ = 167781256390440. Its totient is φ = 9661317120000.

The previous prime is 40653981388781. The next prime is 40653981388841. The reversal of 40653981388800 is 888318935604.

40653981388800 is a `hidden beast` number, since 4 + 0 + 6 + 539 + 8 + 13 + 8 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 30748710703104 + 9905270685696 = 5545152^2 + 3147264^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3126982300 + ... + 3126995300.

Almost surely, 2^{40653981388800} is an apocalyptic number.

40653981388800 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 40653981388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83890628195220).

40653981388800 is an abundant number, since it is smaller than the sum of its proper divisors (127127275001640).

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

40653981388800 is a wasteful number, since it uses less digits than its factorization.

40653981388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13053 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 40653981388800 in words is "forty trillion, six hundred fifty-three billion, nine hundred eighty-one million, three hundred eighty-eight thousand, eight hundred".