1426329216 has 256 divisors, whose sum is σ = 4626720000. Its totient is φ = 429871104.

The previous prime is 1426329209. The next prime is 1426329241. The reversal of 1426329216 is 6129236241.

It is a happy number.

1426329216 is a `hidden beast` number, since 1 + 4 + 2 + 632 + 9 + 2 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 2380885 + ... + 2381483.

It is an arithmetic number, because the mean of its divisors is an integer number (18073125).

Almost surely, 2^1426329216 is an apocalyptic number.

1426329216 is a gapful number since it is divisible by the number (16) 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 1426329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360000).

1426329216 is an abundant number, since it is smaller than the sum of its proper divisors (3200390784).

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

1426329216 is a wasteful number, since it uses less digits than its factorization.

1426329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1426329216 is about 37766.7739686619. The cubic root of 1426329216 is about 1125.6583382278.

The spelling of 1426329216 in words is "one billion, four hundred twenty-six million, three hundred twenty-nine thousand, two hundred sixteen".