40118878800 has 1200 divisors, whose sum is σ = 193476700032. Its totient is φ = 7688908800.

The previous prime is 40118878733. The next prime is 40118878819. The reversal of 40118878800 is 887881104.

It is a tau number, because it is divible by the number of its divisors (1200).

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, 32431782 + ... + 32433018.

Almost surely, 2^40118878800 is an apocalyptic number.

40118878800 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 40118878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96738350016).

40118878800 is an abundant number, since it is smaller than the sum of its proper divisors (153357821232).

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

40118878800 is a wasteful number, since it uses less digits than its factorization.

40118878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 40118878800 in words is "forty billion, one hundred eighteen million, eight hundred seventy-eight thousand, eight hundred".