40344220334320 has 160 divisors (see below), whose sum is σ = 110111005444608. Its totient is φ = 13456827177984.

The previous prime is 40344220334273. The next prime is 40344220334339. The reversal of 40344220334320 is 2343302244304.

It is a super-2 number, since 2×40344220334320² (a number of 28 digits) contains 22 as substring.

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, 177311667 + ... + 177539053.

Almost surely, 2^{40344220334320} is an apocalyptic number.

40344220334320 is a gapful number since it is divisible by the number (40) 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 40344220334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55055502722304).

40344220334320 is an abundant number, since it is smaller than the sum of its proper divisors (69766785110288).

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

40344220334320 is a wasteful number, since it uses less digits than its factorization.

40344220334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236007 (or 236001 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 40344220334320 its reverse (2343302244304), we get a palindrome (42687522578624).

The spelling of 40344220334320 in words is "forty trillion, three hundred forty-four billion, two hundred twenty million, three hundred thirty-four thousand, three hundred twenty".