1426944816 has 160 divisors (see below), whose sum is σ = 4563993600. Its totient is φ = 423141120.

The previous prime is 1426944781. The next prime is 1426944877. The reversal of 1426944816 is 6184496241.

1426944816 is a `hidden beast` number, since 142 + 69 + 448 + 1 + 6 = 666.

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, 220150 + ... + 226538.

It is an arithmetic number, because the mean of its divisors is an integer number (28524960).

Almost surely, 2^1426944816 is an apocalyptic number.

1426944816 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 1426944816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281996800).

1426944816 is an abundant number, since it is smaller than the sum of its proper divisors (3137048784).

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

1426944816 is a wasteful number, since it uses less digits than its factorization.

1426944816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6452 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1426944816 is about 37774.9231104446. The cubic root of 1426944816 is about 1125.8202586775.

The spelling of 1426944816 in words is "one billion, four hundred twenty-six million, nine hundred forty-four thousand, eight hundred sixteen".