40500691200 has 648 divisors, whose sum is σ = 157956313760. Its totient is φ = 10152345600.

The previous prime is 40500691163. The next prime is 40500691223. The reversal of 40500691200 is 219600504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49938795 + ... + 49939605.

Almost surely, 2^40500691200 is an apocalyptic number.

40500691200 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 40500691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78978156880).

40500691200 is an abundant number, since it is smaller than the sum of its proper divisors (117455622560).

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

40500691200 is a wasteful number, since it uses less digits than its factorization.

40500691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40500691200 in words is "forty billion, five hundred million, six hundred ninety-one thousand, two hundred".