21038707549440 has 4320 divisors, whose sum is σ = 97344257117184. Its totient is φ = 4307461079040.

The previous prime is 21038707549421. The next prime is 21038707549493. The reversal of 21038707549440 is 4494570783012.

21038707549440 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 87 + 0 + 75 + 494 + 4 + 0 = 666.

21038707549440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 288201473244 + ... + 288201473316.

Almost surely, 2^{21038707549440} is an apocalyptic number.

21038707549440 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 21038707549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672128558592).

21038707549440 is an abundant number, since it is smaller than the sum of its proper divisors (76305549567744).

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

21038707549440 is a wasteful number, since it uses less digits than its factorization.

21038707549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 21038707549440 in words is "twenty-one trillion, thirty-eight billion, seven hundred seven million, five hundred forty-nine thousand, four hundred forty".