40822674742464 has 112 divisors (see below), whose sum is σ = 110341354940928. Its totient is φ = 13314018116608.

The previous prime is 40822674742433. The next prime is 40822674742483. The reversal of 40822674742464 is 46424747622804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40822674742398 and 40822674742407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29306074 + ... + 30667430.

Almost surely, 2^{40822674742464} 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 40822674742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55170677470464).

40822674742464 is an abundant number, since it is smaller than the sum of its proper divisors (69518680198464).

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

40822674742464 is a wasteful number, since it uses less digits than its factorization.

40822674742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364742 (or 1364732 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 60.

The spelling of 40822674742464 in words is "forty trillion, eight hundred twenty-two billion, six hundred seventy-four million, seven hundred forty-two thousand, four hundred sixty-four".