1405369440 has 120 divisors (see below), whose sum is σ = 4959828720. Its totient is φ = 374761728.

The previous prime is 1405369429. The next prime is 1405369453. The reversal of 1405369440 is 449635041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1405369395 and 1405369404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41260 + ... + 67179.

It is an arithmetic number, because the mean of its divisors is an integer number (41331906).

Almost surely, 2^1405369440 is an apocalyptic number.

1405369440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405369440 is an abundant number, since it is smaller than the sum of its proper divisors (3554459280).

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

1405369440 is a wasteful number, since it uses less digits than its factorization.

1405369440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108466 (or 108449 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1405369440 is about 37488.2573614725. The cubic root of 1405369440 is about 1120.1172921379.

The spelling of 1405369440 in words is "one billion, four hundred five million, three hundred sixty-nine thousand, four hundred forty".