1409149440 has 640 divisors, whose sum is σ = 5597856000. Its totient is φ = 334430208.

The previous prime is 1409149429. The next prime is 1409149457. The reversal of 1409149440 is 449419041.

1409149440 is a `hidden beast` number, since 1 + 40 + 91 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 1409149395 and 1409149404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38085102 + ... + 38085138.

It is an arithmetic number, because the mean of its divisors is an integer number (8746650).

Almost surely, 2^1409149440 is an apocalyptic number.

1409149440 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 1409149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798928000).

1409149440 is an abundant number, since it is smaller than the sum of its proper divisors (4188706560).

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

1409149440 is a wasteful number, since it uses less digits than its factorization.

1409149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1409149440 is about 37538.6392934001. The cubic root of 1409149440 is about 1121.1206470391.

The spelling of 1409149440 in words is "one billion, four hundred nine million, one hundred forty-nine thousand, four hundred forty".