201145505040 has 140 divisors (see below), whose sum is σ = 701174395404. Its totient is φ = 53638785792.

The previous prime is 201145505017. The next prime is 201145505063. The reversal of 201145505040 is 40505541102.

201145505040 is a `hidden beast` number, since 2 + 0 + 114 + 5 + 505 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (201145505017) and next prime (201145505063).

It can be written as a sum of positive squares in 2 ways, for example, as 33867777024 + 167277728016 = 184032^2 + 408996^2 .

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 = 201145504995 and 201145505013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1666179 + ... + 1782818.

Almost surely, 2^201145505040 is an apocalyptic number.

201145505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201145505040 is an abundant number, since it is smaller than the sum of its proper divisors (500028890364).

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

201145505040 is an equidigital number, since it uses as much as digits as its factorization.

201145505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449028 (or 3449007 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 201145505040 in words is "two hundred one billion, one hundred forty-five million, five hundred five thousand, forty".