20414026321920 has 4680 divisors, whose sum is σ = 99898280000640. Its totient is φ = 3941817384960.

The previous prime is 20414026321919. The next prime is 20414026321939. The reversal of 20414026321920 is 2912362041402.

It is a happy number.

20414026321920 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 0 + 2 + 632 + 19 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 258405396441 + ... + 258405396519.

Almost surely, 2^{20414026321920} is an apocalyptic number.

20414026321920 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 20414026321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49949140000320).

20414026321920 is an abundant number, since it is smaller than the sum of its proper divisors (79484253678720).

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

20414026321920 is a wasteful number, since it uses less digits than its factorization.

20414026321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20414026321920 in words is "twenty trillion, four hundred fourteen billion, twenty-six million, three hundred twenty-one thousand, nine hundred twenty".