201933957440 has 112 divisors (see below), whose sum is σ = 502663529088. Its totient is φ = 77122873344.

The previous prime is 201933957439. The next prime is 201933957469. The reversal of 201933957440 is 44759339102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4119314 + ... + 4168046.

It is an arithmetic number, because the mean of its divisors is an integer number (4488067224).

Almost surely, 2^201933957440 is an apocalyptic number.

201933957440 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 201933957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251331764544).

201933957440 is an abundant number, since it is smaller than the sum of its proper divisors (300729571648).

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

201933957440 is a wasteful number, since it uses less digits than its factorization.

201933957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49336 (or 49326 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 201933957440 in words is "two hundred one billion, nine hundred thirty-three million, nine hundred fifty-seven thousand, four hundred forty".