40005251351514 has 96 divisors (see below), whose sum is σ = 90592915271040. Its totient is φ = 13230772632000.

The previous prime is 40005251351501. The next prime is 40005251351557. The reversal of 40005251351514 is 41515315250004.

40005251351514 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 5 + 2 + 5 + 135 + 1 + 514 = 666.

40005251351514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60508204 + ... + 61165784.

It is an arithmetic number, because the mean of its divisors is an integer number (943676200740).

Almost surely, 2^{40005251351514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40005251351514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45296457635520).

40005251351514 is an abundant number, since it is smaller than the sum of its proper divisors (50587663919526).

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

40005251351514 is a wasteful number, since it uses less digits than its factorization.

40005251351514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658578 (or 658566 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 40005251351514 in words is "forty trillion, five billion, two hundred fifty-one million, three hundred fifty-one thousand, five hundred fourteen".