40271900832 has 216 divisors, whose sum is σ = 121264596180. Its totient is φ = 12675778560.

The previous prime is 40271900821. The next prime is 40271900857. The reversal of 40271900832 is 23800917204.

It can be written as a sum of positive squares in 2 ways, for example, as 38716071696 + 1555829136 = 196764^2 + 39444^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52919332 + ... + 52920092.

Almost surely, 2^40271900832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40271900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60632298090).

40271900832 is an abundant number, since it is smaller than the sum of its proper divisors (80992695348).

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

40271900832 is a wasteful number, since it uses less digits than its factorization.

40271900832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40271900832 in words is "forty billion, two hundred seventy-one million, nine hundred thousand, eight hundred thirty-two".