1416520000 has 140 divisors (see below), whose sum is σ = 4015089760. Its totient is φ = 485568000.

The previous prime is 1416519997. The next prime is 1416520013. The reversal of 1416520000 is 256141.

It is a tau number, because it is divible by the number of its divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 1416520000.

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, 277471 + ... + 282529.

Almost surely, 2^1416520000 is an apocalyptic number.

1416520000 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 1416520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007544880).

1416520000 is an abundant number, since it is smaller than the sum of its proper divisors (2598569760).

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

1416520000 is an frugal number, since it uses more digits than its factorization.

1416520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1416520000 is about 37636.6842322753. The cubic root of 1416520000 is about 1123.0719238005.

Adding to 1416520000 its reverse (256141), we get a palindrome (1416776141).

The spelling of 1416520000 in words is "one billion, four hundred sixteen million, five hundred twenty thousand".