40918800 has 240 divisors, whose sum is σ = 146810048. Its totient is φ = 9676800.

The previous prime is 40918789. The next prime is 40918831. The reversal of 40918800 is 881904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670770 + ... + 670830.

Almost surely, 2^40918800 is an apocalyptic number.

40918800 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 40918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73405024).

40918800 is an abundant number, since it is smaller than the sum of its proper divisors (105891248).

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

40918800 is a wasteful number, since it uses less digits than its factorization.

40918800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 40918800 is about 6396.7804401902. The cubic root of 40918800 is about 344.5939351879.

The spelling of 40918800 in words is "forty million, nine hundred eighteen thousand, eight hundred".