40249160640 has 672 divisors, whose sum is σ = 154571639040. Its totient is φ = 9550430208.

The previous prime is 40249160629. The next prime is 40249160659. The reversal of 40249160640 is 4606194204.

40249160640 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 9 + 1 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40249160595 and 40249160604.

It is a congruent number.

It is an unprimeable number.

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, 156611392 + ... + 156611648.

It is an arithmetic number, because the mean of its divisors is an integer number (230017320).

Almost surely, 2^40249160640 is an apocalyptic number.

40249160640 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 40249160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77285819520).

40249160640 is an abundant number, since it is smaller than the sum of its proper divisors (114322478400).

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

40249160640 is a wasteful number, since it uses less digits than its factorization.

40249160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40249160640 in words is "forty billion, two hundred forty-nine million, one hundred sixty thousand, six hundred forty".