1409410368 has 140 divisors (see below), whose sum is σ = 4247377332. Its totient is φ = 461998080.

The previous prime is 1409410351. The next prime is 1409410391. The reversal of 1409410368 is 8630149041.

It can be written as a sum of positive squares in 2 ways, for example, as 432972864 + 976437504 = 20808^2 + 31248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 313996 + ... + 318452.

Almost surely, 2^1409410368 is an apocalyptic number.

1409410368 is a gapful number since it is divisible by the number (18) 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 1409410368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123688666).

1409410368 is an abundant number, since it is smaller than the sum of its proper divisors (2837966964).

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

1409410368 is an equidigital number, since it uses as much as digits as its factorization.

1409410368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4523 counting only the distinct ones).

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

The square root of 1409410368 is about 37542.1145914825. The cubic root of 1409410368 is about 1121.1898409575.

The spelling of 1409410368 in words is "one billion, four hundred nine million, four hundred ten thousand, three hundred sixty-eight".