40132706440304 has 320 divisors, whose sum is σ = 84504332626560. Its totient is φ = 18426361282560.

The previous prime is 40132706440303. The next prime is 40132706440327. The reversal of 40132706440304 is 40304460723104.

It is a super-2 number, since 2×40132706440304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132706440303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69554083664 + ... + 69554084240.

It is an arithmetic number, because the mean of its divisors is an integer number (264076039458).

Almost surely, 2^{40132706440304} 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 40132706440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42252166313280).

40132706440304 is an abundant number, since it is smaller than the sum of its proper divisors (44371626186256).

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

40132706440304 is a wasteful number, since it uses less digits than its factorization.

40132706440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 40132706440304 in words is "forty trillion, one hundred thirty-two billion, seven hundred six million, four hundred forty thousand, three hundred four".