22130080727040 has 3840 divisors, whose sum is σ = 99605304852480. Its totient is φ = 4586471424000.

The previous prime is 22130080727021. The next prime is 22130080727099. The reversal of 22130080727040 is 4072708003122.

22130080727040 is a `hidden beast` number, since 2 + 2 + 1 + 300 + 80 + 7 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 = 22130080726986 and 22130080727004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 362788208610 + ... + 362788208670.

It is an arithmetic number, because the mean of its divisors is an integer number (25938881472).

Almost surely, 2^{22130080727040} is an apocalyptic number.

22130080727040 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 22130080727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49802652426240).

22130080727040 is an abundant number, since it is smaller than the sum of its proper divisors (77475224125440).

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

22130080727040 is a wasteful number, since it uses less digits than its factorization.

22130080727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

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

The spelling of 22130080727040 in words is "twenty-two trillion, one hundred thirty billion, eighty million, seven hundred twenty-seven thousand, forty".