1416881040 has 160 divisors (see below), whose sum is σ = 4566660096. Its totient is φ = 363018240.

The previous prime is 1416881021. The next prime is 1416881077. The reversal of 1416881040 is 401886141.

It is a super-3 number, since 3×1416881040³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1416880992 and 1416881010.

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, 1167474 + ... + 1168686.

Almost surely, 2^1416881040 is an apocalyptic number.

1416881040 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 1416881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283330048).

1416881040 is an abundant number, since it is smaller than the sum of its proper divisors (3149779056).

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

1416881040 is a wasteful number, since it uses less digits than its factorization.

1416881040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1416881040 is about 37641.4803109548. The cubic root of 1416881040 is about 1123.1673311940.

It can be divided in two parts, 1416 and 881040, that added together give a triangular number (882456 = T₁₃₂₈).

The spelling of 1416881040 in words is "one billion, four hundred sixteen million, eight hundred eighty-one thousand, forty".