40992673920 has 1024 divisors, whose sum is σ = 162437529600. Its totient is φ = 8670412800.

The previous prime is 40992673913. The next prime is 40992673921. The reversal of 40992673920 is 2937629904.

It is a super-2 number, since 2×40992673920² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40992673921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322776897 + ... + 322777023.

It is an arithmetic number, because the mean of its divisors is an integer number (158630400).

Almost surely, 2^40992673920 is an apocalyptic number.

40992673920 is a gapful number since it is divisible by the number (40) 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 40992673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81218764800).

40992673920 is an abundant number, since it is smaller than the sum of its proper divisors (121444855680).

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

40992673920 is a wasteful number, since it uses less digits than its factorization.

40992673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 40992673920 in words is "forty billion, nine hundred ninety-two million, six hundred seventy-three thousand, nine hundred twenty".