40747814525200 has 240 divisors, whose sum is σ = 99486776188800. Its totient is φ = 16036154060800.

The previous prime is 40747814525189. The next prime is 40747814525233. The reversal of 40747814525200 is 252541874704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708656461 + ... + 8708661139.

It is an arithmetic number, because the mean of its divisors is an integer number (414528234120).

Almost surely, 2^{40747814525200} is an apocalyptic number.

40747814525200 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 40747814525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743388094400).

40747814525200 is an abundant number, since it is smaller than the sum of its proper divisors (58738961663600).

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

40747814525200 is a wasteful number, since it uses less digits than its factorization.

40747814525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 49.

The spelling of 40747814525200 in words is "forty trillion, seven hundred forty-seven billion, eight hundred fourteen million, five hundred twenty-five thousand, two hundred".