40146914808 has 1152 divisors, whose sum is σ = 163487600640. Its totient is φ = 8709120000.

The previous prime is 40146914741. The next prime is 40146914837. The reversal of 40146914808 is 80841964104.

40146914808 is a `hidden beast` number, since 40 + 1 + 46 + 91 + 480 + 8 = 666.

It is a super-2 number, since 2×40146914808² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 265873533 + ... + 265873683.

It is an arithmetic number, because the mean of its divisors is an integer number (141916320).

Almost surely, 2^40146914808 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 40146914808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81743800320).

40146914808 is an abundant number, since it is smaller than the sum of its proper divisors (123340685832).

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

40146914808 is a wasteful number, since it uses less digits than its factorization.

40146914808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 40146914808 in words is "forty billion, one hundred forty-six million, nine hundred fourteen thousand, eight hundred eight".