21046458400 has 216 divisors, whose sum is σ = 57639342096. Its totient is φ = 7442150400.

The previous prime is 21046458397. The next prime is 21046458443. The reversal of 21046458400 is 485464012.

It is a super-2 number, since 2×21046458400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12046327 + ... + 12048073.

It is an arithmetic number, because the mean of its divisors is an integer number (266848806).

Almost surely, 2^21046458400 is an apocalyptic number.

21046458400 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 21046458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28819671048).

21046458400 is an abundant number, since it is smaller than the sum of its proper divisors (36592883696).

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

21046458400 is a wasteful number, since it uses less digits than its factorization.

21046458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 21046458400 in words is "twenty-one billion, forty-six million, four hundred fifty-eight thousand, four hundred".