201127664640 has 352 divisors, whose sum is σ = 773895697920. Its totient is φ = 43552014336.

The previous prime is 201127664623. The next prime is 201127664653. The reversal of 201127664640 is 46466721102.

201127664640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1993654 + ... + 2092106.

Almost surely, 2^201127664640 is an apocalyptic number.

201127664640 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 201127664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386947848960).

201127664640 is an abundant number, since it is smaller than the sum of its proper divisors (572768033280).

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

201127664640 is a wasteful number, since it uses less digits than its factorization.

201127664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98507 (or 98489 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 201127664640 in words is "two hundred one billion, one hundred twenty-seven million, six hundred sixty-four thousand, six hundred forty".