40825985865984 has 1008 divisors, whose sum is σ = 142177793607360. Its totient is φ = 11557430231040.

The previous prime is 40825985865961. The next prime is 40825985866013. The reversal of 40825985865984 is 48956858952804.

It is a happy number.

40825985865984 is a `hidden beast` number, since 4 + 0 + 8 + 25 + 9 + 8 + 586 + 5 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×40825985865984² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4781115987 + ... + 4781124525.

It is an arithmetic number, because the mean of its divisors is an integer number (141049398420).

Almost surely, 2^{40825985865984} is an apocalyptic number.

40825985865984 is a gapful number since it is divisible by the number (44) 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 40825985865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71088896803680).

40825985865984 is an abundant number, since it is smaller than the sum of its proper divisors (101351807741376).

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

40825985865984 is a wasteful number, since it uses less digits than its factorization.

40825985865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 7962624000, while the sum is 81.

The spelling of 40825985865984 in words is "forty trillion, eight hundred twenty-five billion, nine hundred eighty-five million, eight hundred sixty-five thousand, nine hundred eighty-four".