220049951940 has 768 divisors, whose sum is σ = 896669706240. Its totient is φ = 43475927040.

The previous prime is 220049951917. The next prime is 220049951951. The reversal of 220049951940 is 49159940022.

220049951940 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 99 + 519 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 201326034 + ... + 201327126.

It is an arithmetic number, because the mean of its divisors is an integer number (1167538680).

Almost surely, 2^220049951940 is an apocalyptic number.

220049951940 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 220049951940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448334853120).

220049951940 is an abundant number, since it is smaller than the sum of its proper divisors (676619754300).

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

220049951940 is a wasteful number, since it uses less digits than its factorization.

220049951940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 220049951940 in words is "two hundred twenty billion, forty-nine million, nine hundred fifty-one thousand, nine hundred forty".