40314679238400 has 1728 divisors, whose sum is σ = 161628396453888. Its totient is φ = 8651152097280.

The previous prime is 40314679238269. The next prime is 40314679238401. The reversal of 40314679238400 is 483297641304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314679238401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40435986702 + ... + 40435987698.

Almost surely, 2^{40314679238400} is an apocalyptic number.

40314679238400 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 40314679238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80814198226944).

40314679238400 is an abundant number, since it is smaller than the sum of its proper divisors (121313717215488).

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

40314679238400 is a wasteful number, since it uses less digits than its factorization.

40314679238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 40314679238400 in words is "forty trillion, three hundred fourteen billion, six hundred seventy-nine million, two hundred thirty-eight thousand, four hundred".