40738344501408 has 48 divisors (see below), whose sum is σ = 109213434207360. Its totient is φ = 13290523736576.

The previous prime is 40738344501403. The next prime is 40738344501499. The reversal of 40738344501408 is 80410544383704.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40738344501408² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40738344501403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4514439693 + ... + 4514448716.

It is an arithmetic number, because the mean of its divisors is an integer number (2275279879320).

Almost surely, 2^{40738344501408} is an apocalyptic number.

40738344501408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40738344501408 is an abundant number, since it is smaller than the sum of its proper divisors (68475089705952).

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

40738344501408 is a wasteful number, since it uses less digits than its factorization.

40738344501408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028888469 (or 9028888461 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 40738344501408 in words is "forty trillion, seven hundred thirty-eight billion, three hundred forty-four million, five hundred one thousand, four hundred eight".