21044031032400 has 240 divisors, whose sum is σ = 67879842912000. Its totient is φ = 5572734126080.

The previous prime is 21044031032389. The next prime is 21044031032441. The reversal of 21044031032400 is 423013044012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21044031032400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 900961522 + ... + 900984878.

It is an arithmetic number, because the mean of its divisors is an integer number (282832678800).

Almost surely, 2^{21044031032400} is an apocalyptic number.

21044031032400 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 21044031032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33939921456000).

21044031032400 is an abundant number, since it is smaller than the sum of its proper divisors (46835811879600).

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

21044031032400 is a wasteful number, since it uses less digits than its factorization.

21044031032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28566 (or 28555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21044031032400 its reverse (423013044012), we get a palindrome (21467044076412).

The spelling of 21044031032400 in words is "twenty-one trillion, forty-four billion, thirty-one million, thirty-two thousand, four hundred".