1405652040 has 192 divisors, whose sum is σ = 5089921200. Its totient is φ = 334043136.

The previous prime is 1405652033. The next prime is 1405652041. The reversal of 1405652040 is 402565041.

1405652040 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 652 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 360164484 + 1045487556 = 18978^2 + 32334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1405651995 and 1405652013.

It is not an unprimeable number, because it can be changed into a prime (1405652041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130542 + ... + 140898.

Almost surely, 2^1405652040 is an apocalyptic number.

1405652040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405652040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544960600).

1405652040 is an abundant number, since it is smaller than the sum of its proper divisors (3684269160).

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

1405652040 is a wasteful number, since it uses less digits than its factorization.

1405652040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1405652040 is about 37492.0263522792. The cubic root of 1405652040 is about 1120.1923670429.

The spelling of 1405652040 in words is "one billion, four hundred five million, six hundred fifty-two thousand, forty".