40285826092512 has 1536 divisors, whose sum is σ = 168173494272000. Its totient is φ = 9034452910080.

The previous prime is 40285826092471. The next prime is 40285826092529. The reversal of 40285826092512 is 21529062858204.

40285826092512 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 5 + 8 + 2 + 609 + 25 + 1 + 2 = 666.

It is a super-2 number, since 2×40285826092512² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1298145348 + ... + 1298176380.

It is an arithmetic number, because the mean of its divisors is an integer number (109487952000).

Almost surely, 2^{40285826092512} is an apocalyptic number.

40285826092512 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 40285826092512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84086747136000).

40285826092512 is an abundant number, since it is smaller than the sum of its proper divisors (127887668179488).

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

40285826092512 is a wasteful number, since it uses less digits than its factorization.

40285826092512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31181 (or 31167 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 40285826092512 in words is "forty trillion, two hundred eighty-five billion, eight hundred twenty-six million, ninety-two thousand, five hundred twelve".