201939440640 has 704 divisors, whose sum is σ = 791430856704. Its totient is φ = 42938007552.

The previous prime is 201939440627. The next prime is 201939440641. The reversal of 201939440640 is 46044939102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 201939440592 and 201939440601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201939440641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91498417 + ... + 91500623.

Almost surely, 2^201939440640 is an apocalyptic number.

201939440640 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 201939440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395715428352).

201939440640 is an abundant number, since it is smaller than the sum of its proper divisors (589491416064).

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

201939440640 is a wasteful number, since it uses less digits than its factorization.

201939440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 201939440640 in words is "two hundred one billion, nine hundred thirty-nine million, four hundred forty thousand, six hundred forty".