4140759245904 has 40 divisors (see below), whose sum is σ = 11885512651520. Its totient is φ = 1380253081824.

The previous prime is 4140759245881. The next prime is 4140759245911. The reversal of 4140759245904 is 4095429570414.

4140759245904 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 7 + 592 + 45 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 7 ways as a sum of consecutive naturals, for example, 4792544992 + ... + 4792545855.

It is an arithmetic number, because the mean of its divisors is an integer number (297137816288).

Almost surely, 2^{4140759245904} is an apocalyptic number.

It is an amenable number.

4140759245904 is an abundant number, since it is smaller than the sum of its proper divisors (7744753405616).

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

4140759245904 is a wasteful number, since it uses less digits than its factorization.

4140759245904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585090864 (or 9585090852 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4140759245904 in words is "four trillion, one hundred forty billion, seven hundred fifty-nine million, two hundred forty-five thousand, nine hundred four".