201940772880 has 960 divisors, whose sum is σ = 822151378944. Its totient is φ = 39826022400.

The previous prime is 201940772879. The next prime is 201940772921. The reversal of 201940772880 is 88277049102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1474020172 + ... + 1474020308.

Almost surely, 2^201940772880 is an apocalyptic number.

201940772880 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 201940772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411075689472).

201940772880 is an abundant number, since it is smaller than the sum of its proper divisors (620210606064).

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

201940772880 is a wasteful number, since it uses less digits than its factorization.

201940772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 201940772880 in words is "two hundred one billion, nine hundred forty million, seven hundred seventy-two thousand, eight hundred eighty".