21241156400 has 240 divisors, whose sum is σ = 55205990400. Its totient is φ = 7829498880.

The previous prime is 21241156399. The next prime is 21241156427. The reversal of 21241156400 is 465114212.

It is a self number, because there is not a number n which added to its sum of digits gives 21241156400.

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, 56946614 + ... + 56946986.

It is an arithmetic number, because the mean of its divisors is an integer number (230024960).

Almost surely, 2^21241156400 is an apocalyptic number.

21241156400 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 21241156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602995200).

21241156400 is an abundant number, since it is smaller than the sum of its proper divisors (33964834000).

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

21241156400 is a wasteful number, since it uses less digits than its factorization.

21241156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

It can be divided in two parts, 2124 and 1156400, that multiplied together give a square (2456193600 = 49560²).

The spelling of 21241156400 in words is "twenty-one billion, two hundred forty-one million, one hundred fifty-six thousand, four hundred".