21417404037120 has 1920 divisors, whose sum is σ = 97048205654400. Its totient is φ = 4396132859904.

The previous prime is 21417404037119. The next prime is 21417404037131. The reversal of 21417404037120 is 2173040471412.

21417404037120 is a `hidden beast` number, since 2 + 14 + 174 + 0 + 403 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 2792720646 + ... + 2792728314.

It is an arithmetic number, because the mean of its divisors is an integer number (50545940445).

Almost surely, 2^{21417404037120} is an apocalyptic number.

21417404037120 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 21417404037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48524102827200).

21417404037120 is an abundant number, since it is smaller than the sum of its proper divisors (75630801617280).

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

21417404037120 is a wasteful number, since it uses less digits than its factorization.

21417404037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 21417404037120 in words is "twenty-one trillion, four hundred seventeen billion, four hundred four million, thirty-seven thousand, one hundred twenty".