21253430466040 has 64 divisors (see below), whose sum is σ = 50633997091200. Its totient is φ = 8001161177088.

The previous prime is 21253430466029. The next prime is 21253430466043. The reversal of 21253430466040 is 4066403435212.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21253430465984 and 21253430466002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21253430466043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48358401 + ... + 48795919.

It is an arithmetic number, because the mean of its divisors is an integer number (791156204550).

Almost surely, 2^{21253430466040} is an apocalyptic number.

21253430466040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21253430466040 is an abundant number, since it is smaller than the sum of its proper divisors (29380566625160).

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

21253430466040 is a wasteful number, since it uses less digits than its factorization.

21253430466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508984 (or 508980 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 21253430466040 in words is "twenty-one trillion, two hundred fifty-three billion, four hundred thirty million, four hundred sixty-six thousand, forty".