201002716944 has 400 divisors, whose sum is σ = 631968480000. Its totient is φ = 61435957248.

The previous prime is 201002716891. The next prime is 201002717033. The reversal of 201002716944 is 449617200102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 201002716899 and 201002716908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 402810807 + ... + 402811305.

It is an arithmetic number, because the mean of its divisors is an integer number (1579921200).

Almost surely, 2^201002716944 is an apocalyptic number.

201002716944 is a gapful number since it is divisible by the number (24) 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 201002716944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315984240000).

201002716944 is an abundant number, since it is smaller than the sum of its proper divisors (430965763056).

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

201002716944 is a wasteful number, since it uses less digits than its factorization.

201002716944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 201002716944 in words is "two hundred one billion, two million, seven hundred sixteen thousand, nine hundred forty-four".