201040837997376 has 896 divisors, whose sum is σ = 641022197760000. Its totient is φ = 55043758448640.

The previous prime is 201040837997227. The next prime is 201040837997381. The reversal of 201040837997376 is 673799738040102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6852326515 + ... + 6852355853.

It is an arithmetic number, because the mean of its divisors is an integer number (715426560000).

Almost surely, 2^{201040837997376} is an apocalyptic number.

201040837997376 is a gapful number since it is divisible by the number (26) 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 201040837997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320511098880000).

201040837997376 is an abundant number, since it is smaller than the sum of its proper divisors (439981359762624).

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

201040837997376 is a wasteful number, since it uses less digits than its factorization.

201040837997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29555 (or 29545 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 66.

The spelling of 201040837997376 in words is "two hundred one trillion, forty billion, eight hundred thirty-seven million, nine hundred ninety-seven thousand, three hundred seventy-six".