40644333344604 has 96 divisors (see below), whose sum is σ = 104749467088896. Its totient is φ = 12162881292480.

The previous prime is 40644333344581. The next prime is 40644333344627.

40644333344604 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40644333344581) and next prime (40644333344627).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24923409 + ... + 26504055.

It is an arithmetic number, because the mean of its divisors is an integer number (1091140282176).

Almost surely, 2^{40644333344604} is an apocalyptic number.

40644333344604 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 40644333344604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52374733544448).

40644333344604 is an abundant number, since it is smaller than the sum of its proper divisors (64105133744292).

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

40644333344604 is a wasteful number, since it uses less digits than its factorization.

40644333344604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583095 (or 1583093 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 40644333344604 in words is "forty trillion, six hundred forty-four billion, three hundred thirty-three million, three hundred forty-four thousand, six hundred four".