40874916600 has 960 divisors, whose sum is σ = 174142425600. Its totient is φ = 8678016000.

The previous prime is 40874916587. The next prime is 40874916611. The reversal of 40874916600 is 661947804.

40874916600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 131430445 + ... + 131430755.

It is an arithmetic number, because the mean of its divisors is an integer number (181398360).

Almost surely, 2^40874916600 is an apocalyptic number.

40874916600 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 40874916600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87071212800).

40874916600 is an abundant number, since it is smaller than the sum of its proper divisors (133267509000).

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

40874916600 is a wasteful number, since it uses less digits than its factorization.

40874916600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 4087491 and 6600, that added together give a triangular number (4094091 = T₂₈₆₁).

The spelling of 40874916600 in words is "forty billion, eight hundred seventy-four million, nine hundred sixteen thousand, six hundred".