1405140464 has 60 divisors (see below), whose sum is σ = 3410578584. Its totient is φ = 555875712.

The previous prime is 1405140461. The next prime is 1405140533. The reversal of 1405140464 is 4640415041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405140461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58742 + ... + 79125.

Almost surely, 2^1405140464 is an apocalyptic number.

1405140464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1405140464 is an abundant number, since it is smaller than the sum of its proper divisors (2005438120).

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

1405140464 is a wasteful number, since it uses less digits than its factorization.

1405140464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137902 (or 137889 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1405140464 is about 37485.2032674227. The cubic root of 1405140464 is about 1120.0564554876.

The spelling of 1405140464 in words is "one billion, four hundred five million, one hundred forty thousand, four hundred sixty-four".