1416679680 has 432 divisors, whose sum is σ = 5117031360. Its totient is φ = 333545472.

The previous prime is 1416679651. The next prime is 1416679681. The reversal of 1416679680 is 869766141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416679681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24011491 + ... + 24011549.

It is an arithmetic number, because the mean of its divisors is an integer number (11844980).

Almost surely, 2^1416679680 is an apocalyptic number.

1416679680 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 1416679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558515680).

1416679680 is an abundant number, since it is smaller than the sum of its proper divisors (3700351680).

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

1416679680 is a wasteful number, since it uses less digits than its factorization.

1416679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1416679680 is about 37638.8055070827. The cubic root of 1416679680 is about 1123.1141223779.

The spelling of 1416679680 in words is "one billion, four hundred sixteen million, six hundred seventy-nine thousand, six hundred eighty".