21003019304400 has 360 divisors, whose sum is σ = 83316728489280. Its totient is φ = 4799647733760.

The previous prime is 21003019304389. The next prime is 21003019304417. The reversal of 21003019304400 is 440391030012.

21003019304400 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 30 + 193 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×21003019304400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119082679 + ... + 119258921.

Almost surely, 2^{21003019304400} is an apocalyptic number.

21003019304400 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 21003019304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41658364244640).

21003019304400 is an abundant number, since it is smaller than the sum of its proper divisors (62313709184880).

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

21003019304400 is a wasteful number, since it uses less digits than its factorization.

21003019304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181003 (or 180989 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21003019304400 in words is "twenty-one trillion, three billion, nineteen million, three hundred four thousand, four hundred".