8257438411 has 16 divisors (see below), whose sum is σ = 8624157696. Its totient is φ = 7897500000.

The previous prime is 8257438391. The next prime is 8257438429. The reversal of 8257438411 is 1148347528.

It is a 7-Lehmer number, since φ(8257438411) divides (8257438411-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 8257438411 - 2¹³ = 8257430219 is a prime.

It is a super-2 number, since 2×8257438411² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8257438451) 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 15 ways as a sum of consecutive naturals, for example, 1015261 + ... + 1023361.

It is an arithmetic number, because the mean of its divisors is an integer number (539009856).

Almost surely, 2^8257438411 is an apocalyptic number.

8257438411 is the 40639-th centered decagonal number.

8257438411 is a deficient number, since it is larger than the sum of its proper divisors (366719285).

8257438411 is a wasteful number, since it uses less digits than its factorization.

8257438411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514.

The product of its digits is 215040, while the sum is 43.

The square root of 8257438411 is about 90870.4485022496. The cubic root of 8257438411 is about 2021.2271087825.

The spelling of 8257438411 in words is "eight billion, two hundred fifty-seven million, four hundred thirty-eight thousand, four hundred eleven".