40819752013014 has 96 divisors (see below), whose sum is σ = 96255541759104. Its totient is φ = 12427194286080.

The previous prime is 40819752012979. The next prime is 40819752013037. The reversal of 40819752013014 is 41031025791804.

40819752013014 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 97 + 520 + 1 + 30 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13919299 + ... + 16594769.

It is an arithmetic number, because the mean of its divisors is an integer number (1002661893324).

Almost surely, 2^{40819752013014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40819752013014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48127770879552).

40819752013014 is an abundant number, since it is smaller than the sum of its proper divisors (55435789746090).

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

40819752013014 is a wasteful number, since it uses less digits than its factorization.

40819752013014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676182 (or 2676179 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40819752013014 in words is "forty trillion, eight hundred nineteen billion, seven hundred fifty-two million, thirteen thousand, fourteen".