40623124622400 has 336 divisors, whose sum is σ = 149613013529280. Its totient is φ = 10721153433600.

The previous prime is 40623124622363. The next prime is 40623124622413. The reversal of 40623124622400 is 422642132604.

40623124622400 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 3 + 1 + 24 + 622 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×40623124622400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 656766 + ... + 9037565.

It is an arithmetic number, because the mean of its divisors is an integer number (445276825980).

Almost surely, 2^{40623124622400} is an apocalyptic number.

40623124622400 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 40623124622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74806506764640).

40623124622400 is an abundant number, since it is smaller than the sum of its proper divisors (108989888906880).

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

40623124622400 is a wasteful number, since it uses less digits than its factorization.

40623124622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694459 (or 9694438 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40623124622400 in words is "forty trillion, six hundred twenty-three billion, one hundred twenty-four million, six hundred twenty-two thousand, four hundred".