40100404344 has 512 divisors, whose sum is σ = 139549132800. Its totient is φ = 9266503680.

The previous prime is 40100404319. The next prime is 40100404391. The reversal of 40100404344 is 44340400104.

40100404344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175110822 + ... + 175111050.

It is an arithmetic number, because the mean of its divisors is an integer number (272556900).

Almost surely, 2^40100404344 is an apocalyptic number.

40100404344 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 40100404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69774566400).

40100404344 is an abundant number, since it is smaller than the sum of its proper divisors (99448728456).

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

40100404344 is a wasteful number, since it uses less digits than its factorization.

40100404344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40100404344 its reverse (44340400104), we get a palindrome (84440804448).

It can be divided in two parts, 40100 and 404344, that added together give a palindrome (444444).

The spelling of 40100404344 in words is "forty billion, one hundred million, four hundred four thousand, three hundred forty-four".