40817412576 has 144 divisors (see below), whose sum is σ = 121557814560. Its totient is φ = 12967342080.

The previous prime is 40817412547. The next prime is 40817412617. The reversal of 40817412576 is 67521471804.

40817412576 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 74 + 1 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40817412576² (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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1850380 + ... + 1872308.

It is an arithmetic number, because the mean of its divisors is an integer number (844151490).

Almost surely, 2^40817412576 is an apocalyptic number.

40817412576 is a gapful number since it is divisible by the number (46) 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 40817412576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60778907280).

40817412576 is an abundant number, since it is smaller than the sum of its proper divisors (80740401984).

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

40817412576 is a wasteful number, since it uses less digits than its factorization.

40817412576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22249 (or 22238 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40817412576 in words is "forty billion, eight hundred seventeen million, four hundred twelve thousand, five hundred seventy-six".