201132200040 has 128 divisors (see below), whose sum is σ = 612436723200. Its totient is φ = 52836157440.

The previous prime is 201132200033. The next prime is 201132200053. The reversal of 201132200040 is 40002231102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 201132199992 and 201132200019.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859534 + ... + 2929026.

It is an arithmetic number, because the mean of its divisors is an integer number (4784661900).

Almost surely, 2^201132200040 is an apocalyptic number.

201132200040 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 201132200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306218361600).

201132200040 is an abundant number, since it is smaller than the sum of its proper divisors (411304523160).

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

201132200040 is a wasteful number, since it uses less digits than its factorization.

201132200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69867 (or 69863 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201132200040 its reverse (40002231102), we get a palindrome (241134431142).

The spelling of 201132200040 in words is "two hundred one billion, one hundred thirty-two million, two hundred thousand, forty".