40624312320 has 416 divisors, whose sum is σ = 146368583040. Its totient is φ = 10821206016.

The previous prime is 40624312277. The next prime is 40624312349. The reversal of 40624312320 is 2321342604.

40624312320 is a `hidden beast` number, since 4 + 0 + 6 + 24 + 312 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44789307 + ... + 44790213.

Almost surely, 2^40624312320 is an apocalyptic number.

40624312320 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 40624312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73184291520).

40624312320 is an abundant number, since it is smaller than the sum of its proper divisors (105744270720).

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

40624312320 is an frugal number, since it uses more digits than its factorization.

40624312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40624312320 its reverse (2321342604), we get a palindrome (42945654924).

The spelling of 40624312320 in words is "forty billion, six hundred twenty-four million, three hundred twelve thousand, three hundred twenty".