1416253440 has 416 divisors, whose sum is σ = 5378538240. Its totient is φ = 311427072.

The previous prime is 1416253393. The next prime is 1416253441. The reversal of 1416253440 is 443526141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1416253398 and 1416253407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416253441) 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, 15912916 + ... + 15913004.

Almost surely, 2^1416253440 is an apocalyptic number.

1416253440 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 1416253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689269120).

1416253440 is an abundant number, since it is smaller than the sum of its proper divisors (3962284800).

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

1416253440 is an equidigital number, since it uses as much as digits as its factorization.

1416253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1416253440 is about 37633.1428397895. The cubic root of 1416253440 is about 1123.0014730168.

Adding to 1416253440 its reverse (443526141), we get a palindrome (1859779581).

The spelling of 1416253440 in words is "one billion, four hundred sixteen million, two hundred fifty-three thousand, four hundred forty".