201039292800 has 432 divisors, whose sum is σ = 737410810500. Its totient is φ = 52151316480.

The previous prime is 201039292789. The next prime is 201039292843. The reversal of 201039292800 is 8292930102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 39424651 + ... + 39429749.

Almost surely, 2^201039292800 is an apocalyptic number.

201039292800 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 201039292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368705405250).

201039292800 is an abundant number, since it is smaller than the sum of its proper divisors (536371517700).

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

201039292800 is a wasteful number, since it uses less digits than its factorization.

201039292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 201039292800 in words is "two hundred one billion, thirty-nine million, two hundred ninety-two thousand, eight hundred".