1416451440 has 160 divisors (see below), whose sum is σ = 4478213376. Its totient is φ = 370298880.

The previous prime is 1416451391. The next prime is 1416451457. The reversal of 1416451440 is 441546141.

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 = 1416451398 and 1416451407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4202952 + ... + 4203288.

Almost surely, 2^1416451440 is an apocalyptic number.

1416451440 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 1416451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239106688).

1416451440 is an abundant number, since it is smaller than the sum of its proper divisors (3061761936).

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

1416451440 is a wasteful number, since it uses less digits than its factorization.

1416451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1416451440 is about 37635.7734077566. The cubic root of 1416451440 is about 1123.0538045003.

Adding to 1416451440 its reverse (441546141), we get a palindrome (1857997581).

The spelling of 1416451440 in words is "one billion, four hundred sixteen million, four hundred fifty-one thousand, four hundred forty".