1416136720 has 160 divisors (see below), whose sum is σ = 3619455840. Its totient is φ = 513146880.

The previous prime is 1416136717. The next prime is 1416136727. The reversal of 1416136720 is 276316141.

It can be written as a sum of positive squares in 16 ways, for example, as 526427136 + 889709584 = 22944^2 + 29828^2 .

It is not an unprimeable number, because it can be changed into a prime (1416136727) 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, 6077724 + ... + 6077956.

It is an arithmetic number, because the mean of its divisors is an integer number (22621599).

Almost surely, 2^1416136720 is an apocalyptic number.

1416136720 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 1416136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809727920).

1416136720 is an abundant number, since it is smaller than the sum of its proper divisors (2203319120).

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

1416136720 is a wasteful number, since it uses less digits than its factorization.

1416136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1416136720 is about 37631.5920471085. The cubic root of 1416136720 is about 1122.9706215865.

The spelling of 1416136720 in words is "one billion, four hundred sixteen million, one hundred thirty-six thousand, seven hundred twenty".