201244013040 has 960 divisors, whose sum is σ = 808212556800. Its totient is φ = 40428011520.

The previous prime is 201244013039. The next prime is 201244013051. The reversal of 201244013040 is 40310442102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201244012998 and 201244013016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1350630886 + ... + 1350631034.

It is an arithmetic number, because the mean of its divisors is an integer number (841888080).

Almost surely, 2^201244013040 is an apocalyptic number.

201244013040 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 201244013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404106278400).

201244013040 is an abundant number, since it is smaller than the sum of its proper divisors (606968543760).

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

201244013040 is a wasteful number, since it uses less digits than its factorization.

201244013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201244013040 its reverse (40310442102), we get a palindrome (241554455142).

The spelling of 201244013040 in words is "two hundred one billion, two hundred forty-four million, thirteen thousand, forty".