21812400716040 has 192 divisors, whose sum is σ = 77337273312000. Its totient is φ = 5287690752000.

The previous prime is 21812400716039. The next prime is 21812400716053. The reversal of 21812400716040 is 4061700421812.

It is a happy number.

21812400716040 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 2 + 40 + 0 + 7 + 1 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21812400715986 and 21812400716004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170814136 + ... + 170941784.

It is an arithmetic number, because the mean of its divisors is an integer number (402798298500).

Almost surely, 2^{21812400716040} is an apocalyptic number.

21812400716040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21812400716040 is an abundant number, since it is smaller than the sum of its proper divisors (55524872595960).

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

21812400716040 is a wasteful number, since it uses less digits than its factorization.

21812400716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170828 (or 170821 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 21812400716040 in words is "twenty-one trillion, eight hundred twelve billion, four hundred million, seven hundred sixteen thousand, forty".