40132883142 has 96 divisors (see below), whose sum is σ = 95711616000. Its totient is φ = 12052566720.

The previous prime is 40132883101. The next prime is 40132883159. The reversal of 40132883142 is 24138823104.

It is a happy number.

40132883142 is a `hidden beast` number, since 401 + 32 + 8 + 83 + 142 = 666.

It is a super-2 number, since 2×40132883142² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132883097 and 40132883106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22814859 + ... + 22816617.

It is an arithmetic number, because the mean of its divisors is an integer number (996996000).

Almost surely, 2^40132883142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40132883142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47855808000).

40132883142 is an abundant number, since it is smaller than the sum of its proper divisors (55578732858).

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

40132883142 is a wasteful number, since it uses less digits than its factorization.

40132883142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40132883142 in words is "forty billion, one hundred thirty-two million, eight hundred eighty-three thousand, one hundred forty-two".