201338958240 has 288 divisors, whose sum is σ = 787913433216. Its totient is φ = 45862594560.

The previous prime is 201338958239. The next prime is 201338958251. The reversal of 201338958240 is 42859833102.

201338958240 is a `hidden beast` number, since 20 + 1 + 3 + 3 + 8 + 9 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×201338958240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2919355 + ... + 2987525.

It is an arithmetic number, because the mean of its divisors is an integer number (2735810532).

Almost surely, 2^201338958240 is an apocalyptic number.

201338958240 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 201338958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393956716608).

201338958240 is an abundant number, since it is smaller than the sum of its proper divisors (586574474976).

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

201338958240 is a wasteful number, since it uses less digits than its factorization.

201338958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68492 (or 68481 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 201338958240 in words is "two hundred one billion, three hundred thirty-eight million, nine hundred fifty-eight thousand, two hundred forty".