220913043840 has 384 divisors, whose sum is σ = 776082340800. Its totient is φ = 57893584896.

The previous prime is 220913043823. The next prime is 220913043847. The reversal of 220913043840 is 48340319022.

220913043840 is a `hidden beast` number, since 2 + 209 + 13 + 0 + 438 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 220913043795 and 220913043804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220913043847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141700981 + ... + 141702539.

Almost surely, 2^220913043840 is an apocalyptic number.

220913043840 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 220913043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388041170400).

220913043840 is an abundant number, since it is smaller than the sum of its proper divisors (555169296960).

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

220913043840 is a wasteful number, since it uses less digits than its factorization.

220913043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1979 counting only the distinct ones).

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

The spelling of 220913043840 in words is "two hundred twenty billion, nine hundred thirteen million, forty-three thousand, eight hundred forty".