40314795685920 has 1536 divisors, whose sum is σ = 178260445440000. Its totient is φ = 8296544600064.

The previous prime is 40314795685907. The next prime is 40314795685943. The reversal of 40314795685920 is 2958659741304.

40314795685920 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 47 + 9 + 568 + 5 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1624994476 + ... + 1625019284.

It is an arithmetic number, because the mean of its divisors is an integer number (116054977500).

It is a 5-persistent number, because k⋅40314795685920 is pandigital for 1 ≤ k ≤ 5, but not for k = 6.

Almost surely, 2^{40314795685920} is an apocalyptic number.

40314795685920 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 40314795685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89130222720000).

40314795685920 is an abundant number, since it is smaller than the sum of its proper divisors (137945649754080).

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

40314795685920 is a wasteful number, since it uses less digits than its factorization.

40314795685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995 (or 24981 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 40314795685920 in words is "forty trillion, three hundred fourteen billion, seven hundred ninety-five million, six hundred eighty-five thousand, nine hundred twenty".