40988348714208 has 48 divisors (see below), whose sum is σ = 122965046144640. Its totient is φ = 11710956775296.

The previous prime is 40988348714189. The next prime is 40988348714219. The reversal of 40988348714208 is 80241784388904.

40988348714208 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×40988348714208² (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 7 ways as a sum of consecutive naturals, for example, 30497282598 + ... + 30497283941.

It is an arithmetic number, because the mean of its divisors is an integer number (2561771794680).

Almost surely, 2^{40988348714208} is an apocalyptic number.

40988348714208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40988348714208 is an abundant number, since it is smaller than the sum of its proper divisors (81976697430432).

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

40988348714208 is a wasteful number, since it uses less digits than its factorization.

40988348714208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60994566559 (or 60994566551 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 66.

The spelling of 40988348714208 in words is "forty trillion, nine hundred eighty-eight billion, three hundred forty-eight million, seven hundred fourteen thousand, two hundred eight".