40316534294400 has 3456 divisors, whose sum is σ = 191404689315840. Its totient is φ = 7863290265600.

The previous prime is 40316534294293. The next prime is 40316534294437. The reversal of 40316534294400 is 449243561304.

40316534294400 is a `hidden beast` number, since 4 + 0 + 3 + 165 + 3 + 42 + 9 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 40682677905 + ... + 40682678895.

Almost surely, 2^{40316534294400} is an apocalyptic number.

40316534294400 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 40316534294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95702344657920).

40316534294400 is an abundant number, since it is smaller than the sum of its proper divisors (151088155021440).

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

40316534294400 is a wasteful number, since it uses less digits than its factorization.

40316534294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 40316534294400 in words is "forty trillion, three hundred sixteen billion, five hundred thirty-four million, two hundred ninety-four thousand, four hundred".