20468125440 has 1152 divisors, whose sum is σ = 90027571200. Its totient is φ = 4299816960.

The previous prime is 20468125429. The next prime is 20468125553. The reversal of 20468125440 is 4452186402.

20468125440 is a `hidden beast` number, since 204 + 6 + 8 + 1 + 2 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 20468125395 and 20468125404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280385244 + ... + 280385316.

Almost surely, 2^20468125440 is an apocalyptic number.

20468125440 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 20468125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45013785600).

20468125440 is an abundant number, since it is smaller than the sum of its proper divisors (69559445760).

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

20468125440 is a wasteful number, since it uses less digits than its factorization.

20468125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20468125440 in words is "twenty billion, four hundred sixty-eight million, one hundred twenty-five thousand, four hundred forty".