1416268800 has 330 divisors, whose sum is σ = 5251955148. Its totient is φ = 377118720.

The previous prime is 1416268783. The next prime is 1416268807. The reversal of 1416268800 is 88626141.

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 (1416268807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073259 + ... + 2073941.

Almost surely, 2^1416268800 is an apocalyptic number.

1416268800 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 1416268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625977574).

1416268800 is an abundant number, since it is smaller than the sum of its proper divisors (3835686348).

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

1416268800 is an equidigital number, since it uses as much as digits as its factorization.

1416268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1416268800 is about 37633.3469146713. The cubic root of 1416268800 is about 1123.0055328458.

It can be divided in two parts, 141626 and 8800, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 1416268800 in words is "one billion, four hundred sixteen million, two hundred sixty-eight thousand, eight hundred".