1426933440 has 336 divisors, whose sum is σ = 5242255200. Its totient is φ = 355221504.

The previous prime is 1426933439. The next prime is 1426933451. The reversal of 1426933440 is 443396241.

It is a happy number.

It is a super-2 number, since 2×1426933440² = 4072278084380467200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1426933395 and 1426933404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4869934 + ... + 4870226.

It is an arithmetic number, because the mean of its divisors is an integer number (15601950).

Almost surely, 2^1426933440 is an apocalyptic number.

1426933440 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 1426933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621127600).

1426933440 is an abundant number, since it is smaller than the sum of its proper divisors (3815321760).

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

1426933440 is a wasteful number, since it uses less digits than its factorization.

1426933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1426933440 is about 37774.7725340603. The cubic root of 1426933440 is about 1125.8172668857.

The spelling of 1426933440 in words is "one billion, four hundred twenty-six million, nine hundred thirty-three thousand, four hundred forty".