201244094084880 has 3840 divisors, whose sum is σ = 941534343659520. Its totient is φ = 37614763929600.

The previous prime is 201244094084879. The next prime is 201244094084939. The reversal of 201244094084880 is 88480490442102.

201244094084880 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 440 + 9 + 40 + 84 + 8 + 80 = 666.

It is a super-2 number, since 2×201244094084880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3797058378934 + ... + 3797058378986.

It is an arithmetic number, because the mean of its divisors is an integer number (245191235328).

Almost surely, 2^{201244094084880} is an apocalyptic number.

201244094084880 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 201244094084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470767171829760).

201244094084880 is an abundant number, since it is smaller than the sum of its proper divisors (740290249574640).

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

201244094084880 is a wasteful number, since it uses less digits than its factorization.

201244094084880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 201244094084880 in words is "two hundred one trillion, two hundred forty-four billion, ninety-four million, eighty-four thousand, eight hundred eighty".