1416270960 has 320 divisors, whose sum is σ = 5426319360. Its totient is φ = 337167360.

The previous prime is 1416270959. The next prime is 1416270971. The reversal of 1416270960 is 690726141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 869667 + ... + 871293.

It is an arithmetic number, because the mean of its divisors is an integer number (16957248).

Almost surely, 2^1416270960 is an apocalyptic number.

1416270960 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 1416270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713159680).

1416270960 is an abundant number, since it is smaller than the sum of its proper divisors (4010048400).

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

1416270960 is a wasteful number, since it uses less digits than its factorization.

1416270960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1416270960 is about 37633.3756126128. The cubic root of 1416270960 is about 1123.0061037569.

The spelling of 1416270960 in words is "one billion, four hundred sixteen million, two hundred seventy thousand, nine hundred sixty".