4167086440 has 64 divisors (see below), whose sum is σ = 10381037760. Its totient is φ = 1492677120.

The previous prime is 4167086401. The next prime is 4167086477. The reversal of 4167086440 is 446807614.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4167086393 and 4167086402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41197 + ... + 100156.

It is an arithmetic number, because the mean of its divisors is an integer number (162203715).

Almost surely, 2^4167086440 is an apocalyptic number.

4167086440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4167086440 is an abundant number, since it is smaller than the sum of its proper divisors (6213951320).

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

4167086440 is a wasteful number, since it uses less digits than its factorization.

4167086440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141442 (or 141438 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 4167086440 is about 64552.9739051579. The cubic root of 4167086440 is about 1609.2030107544.

The spelling of 4167086440 in words is "four billion, one hundred sixty-seven million, eighty-six thousand, four hundred forty".