40164623400 has 192 divisors, whose sum is σ = 137150507520. Its totient is φ = 9642182400.

The previous prime is 40164623353. The next prime is 40164623413. The reversal of 40164623400 is 432646104.

40164623400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40164623400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650259 + ... + 709341.

It is an arithmetic number, because the mean of its divisors is an integer number (714325560).

Almost surely, 2^40164623400 is an apocalyptic number.

40164623400 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 40164623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68575253760).

40164623400 is an abundant number, since it is smaller than the sum of its proper divisors (96985884120).

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

40164623400 is a wasteful number, since it uses less digits than its factorization.

40164623400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59216 (or 59207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 40164623400 in words is "forty billion, one hundred sixty-four million, six hundred twenty-three thousand, four hundred".