201485924640 has 1152 divisors, whose sum is σ = 932094438912. Its totient is φ = 38273679360.

The previous prime is 201485924617. The next prime is 201485924659. The reversal of 201485924640 is 46429584102.

It is a happy number.

201485924640 is a `hidden beast` number, since 2 + 0 + 1 + 485 + 92 + 46 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 162882102 + ... + 162883338.

It is an arithmetic number, because the mean of its divisors is an integer number (809109756).

Almost surely, 2^201485924640 is an apocalyptic number.

201485924640 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 201485924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466047219456).

201485924640 is an abundant number, since it is smaller than the sum of its proper divisors (730608514272).

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

201485924640 is a wasteful number, since it uses less digits than its factorization.

201485924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 201485924640 in words is "two hundred one billion, four hundred eighty-five million, nine hundred twenty-four thousand, six hundred forty".