201939853440 has 128 divisors (see below), whose sum is σ = 693197467200. Its totient is φ = 49708265472.

The previous prime is 201939853429. The next prime is 201939853459. The reversal of 201939853440 is 44358939102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 201939853440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020310 + ... + 4070229.

Almost surely, 2^201939853440 is an apocalyptic number.

201939853440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201939853440 is an abundant number, since it is smaller than the sum of its proper divisors (491257613760).

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

201939853440 is a wasteful number, since it uses less digits than its factorization.

201939853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090574 (or 8090562 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 201939853440 in words is "two hundred one billion, nine hundred thirty-nine million, eight hundred fifty-three thousand, four hundred forty".