40750348960000 has 135 divisors (see below), whose sum is σ = 101650728972331. Its totient is φ = 16299118208000.

The previous prime is 40750348959953. The next prime is 40750348960063. The reversal of 40750348960000 is 6984305704.

The square root of 40750348960000 is 6383600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3194827358464 + 37555521601536 = 1787408^2 + 6128256^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 2553432021 + ... + 2553447979.

Almost surely, 2^{40750348960000} is an apocalyptic number.

40750348960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40750348960000 is the 6383600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40750348960000

40750348960000 is an abundant number, since it is smaller than the sum of its proper divisors (60900380012331).

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

40750348960000 is an frugal number, since it uses more digits than its factorization.

40750348960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31954 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 40750348960000 in words is "forty trillion, seven hundred fifty billion, three hundred forty-eight million, nine hundred sixty thousand".