1405117385 has 24 divisors (see below), whose sum is σ = 1968759936. Its totient is φ = 959908320.

The previous prime is 1405117379. The next prime is 1405117421. The reversal of 1405117385 is 5837115041.

It is not a de Polignac number, because 1405117385 - 2²⁴ = 1388340169 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55814 + ... + 76976.

It is an arithmetic number, because the mean of its divisors is an integer number (82031664).

Almost surely, 2^1405117385 is an apocalyptic number.

It is an amenable number.

1405117385 is a deficient number, since it is larger than the sum of its proper divisors (563642551).

1405117385 is a wasteful number, since it uses less digits than its factorization.

1405117385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21453 (or 21446 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1405117385 is about 37484.8954246907. The cubic root of 1405117385 is about 1120.0503232597.

The spelling of 1405117385 in words is "one billion, four hundred five million, one hundred seventeen thousand, three hundred eighty-five".