40395885933312 has 2880 divisors, whose sum is σ = 161049474432000. Its totient is φ = 9834254696448.

The previous prime is 40395885933223. The next prime is 40395885933317. The reversal of 40395885933312 is 21333958859304.

It is a happy number.

40395885933312 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 5 + 8 + 8 + 593 + 3 + 31 + 2 = 666.

It is a super-2 number, since 2×40395885933312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 40395885933312.

It is not an unprimeable number, because it can be changed into a prime (40395885933317) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 357485716168 + ... + 357485716280.

It is an arithmetic number, because the mean of its divisors is an integer number (55919956400).

Almost surely, 2^{40395885933312} is an apocalyptic number.

40395885933312 is a gapful number since it is divisible by the number (42) 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 40395885933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80524737216000).

40395885933312 is an abundant number, since it is smaller than the sum of its proper divisors (120653588498688).

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

40395885933312 is a wasteful number, since it uses less digits than its factorization.

40395885933312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 40395885933312 in words is "forty trillion, three hundred ninety-five billion, eight hundred eighty-five million, nine hundred thirty-three thousand, three hundred twelve".