4077985257 has 40 divisors (see below), whose sum is σ = 6420840800. Its totient is φ = 2572191936.

The previous prime is 4077985213. The next prime is 4077985273. The reversal of 4077985257 is 7525897704.

It is a happy number.

4077985257 is a `hidden beast` number, since 40 + 7 + 79 + 8 + 525 + 7 = 666.

It is not a de Polignac number, because 4077985257 - 2⁸ = 4077985001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4077985277) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1736358 + ... + 1738704.

It is an arithmetic number, because the mean of its divisors is an integer number (160521020).

Almost surely, 2^4077985257 is an apocalyptic number.

It is an amenable number.

4077985257 is a deficient number, since it is larger than the sum of its proper divisors (2342855543).

4077985257 is a wasteful number, since it uses less digits than its factorization.

4077985257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 4077985257 is about 63859.1047306490. The cubic root of 4077985257 is about 1597.6508830575.

The spelling of 4077985257 in words is "four billion, seventy-seven million, nine hundred eighty-five thousand, two hundred fifty-seven".