21040748876400 has 480 divisors, whose sum is σ = 77450757120000. Its totient is φ = 4829015116800.

The previous prime is 21040748876393. The next prime is 21040748876431. The reversal of 21040748876400 is 467884704012.

It is a super-2 number, since 2×21040748876400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375921217 + ... + 375977183.

It is an arithmetic number, because the mean of its divisors is an integer number (161355744000).

Almost surely, 2^{21040748876400} is an apocalyptic number.

21040748876400 is a gapful number since it is divisible by the number (20) 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 21040748876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38725378560000).

21040748876400 is an abundant number, since it is smaller than the sum of its proper divisors (56410008243600).

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

21040748876400 is a wasteful number, since it uses less digits than its factorization.

21040748876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57517 (or 57506 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 21040748876400 in words is "twenty-one trillion, forty billion, seven hundred forty-eight million, eight hundred seventy-six thousand, four hundred".