1416261456 has 80 divisors (see below), whose sum is σ = 4069739520. Its totient is φ = 471559680.

The previous prime is 1416261437. The next prime is 1416261479. The reversal of 1416261456 is 6541626141.

1416261456 is a `hidden beast` number, since 14 + 1 + 626 + 14 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1416261456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669841 + ... + 671951.

It is an arithmetic number, because the mean of its divisors is an integer number (50871744).

Almost surely, 2^1416261456 is an apocalyptic number.

1416261456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1416261456 is an abundant number, since it is smaller than the sum of its proper divisors (2653478064).

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

1416261456 is a wasteful number, since it uses less digits than its factorization.

1416261456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3669 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1416261456 is about 37633.2493415065. The cubic root of 1416261456 is about 1123.0035917437.

Adding to 1416261456 its reverse (6541626141), we get a palindrome (7957887597).

The spelling of 1416261456 in words is "one billion, four hundred sixteen million, two hundred sixty-one thousand, four hundred fifty-six".