21725743703040 has 264 divisors, whose sum is σ = 81069841173048. Its totient is φ = 5347875225600.

The previous prime is 21725743703029. The next prime is 21725743703099. The reversal of 21725743703040 is 4030734752712.

21725743703040 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 574 + 3 + 7 + 0 + 30 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3218952692736 + 18506791010304 = 1794144^2 + 4301952^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17534761 + ... + 18732840.

Almost surely, 2^{21725743703040} is an apocalyptic number.

21725743703040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21725743703040 is an abundant number, since it is smaller than the sum of its proper divisors (59344097470008).

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

21725743703040 is a wasteful number, since it uses less digits than its factorization.

21725743703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36267645 (or 36267624 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 21725743703040 in words is "twenty-one trillion, seven hundred twenty-five billion, seven hundred forty-three million, seven hundred three thousand, forty".