201015257040 has 480 divisors, whose sum is σ = 760711311360. Its totient is φ = 49035829248.

The previous prime is 201015257033. The next prime is 201015257071. The reversal of 201015257040 is 40752510102.

201015257040 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 52 + 570 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201015256995 and 201015257013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28553841 + ... + 28560879.

It is an arithmetic number, because the mean of its divisors is an integer number (1584815232).

Almost surely, 2^201015257040 is an apocalyptic number.

201015257040 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 201015257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380355655680).

201015257040 is an abundant number, since it is smaller than the sum of its proper divisors (559696054320).

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

201015257040 is a wasteful number, since it uses less digits than its factorization.

201015257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 201015257040 its reverse (40752510102), we get a palindrome (241767767142).

The spelling of 201015257040 in words is "two hundred one billion, fifteen million, two hundred fifty-seven thousand, forty".