40692337920 has 864 divisors, whose sum is σ = 159100381440. Its totient is φ = 9537454080.

The previous prime is 40692337913. The next prime is 40692337921. The reversal of 40692337920 is 2973329604.

40692337920 is a `hidden beast` number, since 406 + 9 + 233 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40692337921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457217236 + ... + 457217324.

It is an arithmetic number, because the mean of its divisors is an integer number (184143960).

Almost surely, 2^40692337920 is an apocalyptic number.

40692337920 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 40692337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79550190720).

40692337920 is an abundant number, since it is smaller than the sum of its proper divisors (118408043520).

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

40692337920 is a wasteful number, since it uses less digits than its factorization.

40692337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 40692337920 in words is "forty billion, six hundred ninety-two million, three hundred thirty-seven thousand, nine hundred twenty".