40264400 has 60 divisors (see below), whose sum is σ = 105540864. Its totient is φ = 14640000.

The previous prime is 40264397. The next prime is 40264429. The reversal of 40264400 is 446204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 176 + ... + 8975.

Almost surely, 2^40264400 is an apocalyptic number.

40264400 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 40264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52770432).

40264400 is an abundant number, since it is smaller than the sum of its proper divisors (65276464).

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

40264400 is a wasteful number, since it uses less digits than its factorization.

40264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40264400 is about 6345.4235477232. The cubic root of 40264400 is about 342.7470645296.

The spelling of 40264400 in words is "forty million, two hundred sixty-four thousand, four hundred".