21312314420040 has 320 divisors, whose sum is σ = 86682019881600. Its totient is φ = 4584833943552.

The previous prime is 21312314419961. The next prime is 21312314420099. The reversal of 21312314420040 is 4002441321312.

21312314420040 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 231 + 4 + 420 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21312314419986 and 21312314420013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27252570 + ... + 28023689.

It is an arithmetic number, because the mean of its divisors is an integer number (270881312130).

Almost surely, 2^{21312314420040} is an apocalyptic number.

21312314420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312314420040 is an abundant number, since it is smaller than the sum of its proper divisors (65369705461560).

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

21312314420040 is a wasteful number, since it uses less digits than its factorization.

21312314420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55276306 (or 55276293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21312314420040 its reverse (4002441321312), we get a palindrome (25314755741352).

The spelling of 21312314420040 in words is "twenty-one trillion, three hundred twelve billion, three hundred fourteen million, four hundred twenty thousand, forty".