1409740416 has 256 divisors, whose sum is σ = 5006976000. Its totient is φ = 381459456.

The previous prime is 1409740411. The next prime is 1409740417. The reversal of 1409740416 is 6140479041.

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

It is not an unprimeable number, because it can be changed into a prime (1409740411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458115 + ... + 461181.

It is an arithmetic number, because the mean of its divisors is an integer number (19558500).

Almost surely, 2^1409740416 is an apocalyptic number.

1409740416 is a gapful number since it is divisible by the number (16) 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 1409740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503488000).

1409740416 is an abundant number, since it is smaller than the sum of its proper divisors (3597235584).

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

1409740416 is a wasteful number, since it uses less digits than its factorization.

1409740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1409740416 is about 37546.5100375521. The cubic root of 1409740416 is about 1121.2773521588.

The spelling of 1409740416 in words is "one billion, four hundred nine million, seven hundred forty thousand, four hundred sixteen".