40729180992 has 224 divisors, whose sum is σ = 116366544000. Its totient is φ = 12526682112.

The previous prime is 40729180981. The next prime is 40729180997. The reversal of 40729180992 is 29908192704.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40729180997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40365384 + ... + 40366392.

It is an arithmetic number, because the mean of its divisors is an integer number (519493500).

Almost surely, 2^40729180992 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 40729180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183272000).

40729180992 is an abundant number, since it is smaller than the sum of its proper divisors (75637363008).

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

40729180992 is a wasteful number, since it uses less digits than its factorization.

40729180992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 40729180992 in words is "forty billion, seven hundred twenty-nine million, one hundred eighty thousand, nine hundred ninety-two".