1426093920 has 144 divisors (see below), whose sum is σ = 4889469312. Its totient is φ = 378501120.

The previous prime is 1426093919. The next prime is 1426093931. The reversal of 1426093920 is 293906241.

1426093920 is a `hidden beast` number, since 1 + 4 + 260 + 9 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318900 + ... + 323340.

It is an arithmetic number, because the mean of its divisors is an integer number (33954648).

Almost surely, 2^1426093920 is an apocalyptic number.

1426093920 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 1426093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444734656).

1426093920 is an abundant number, since it is smaller than the sum of its proper divisors (3463375392).

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

1426093920 is a wasteful number, since it uses less digits than its factorization.

1426093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1426093920 is about 37763.6587210509. The cubic root of 1426093920 is about 1125.5964363267.

The spelling of 1426093920 in words is "one billion, four hundred twenty-six million, ninety-three thousand, nine hundred twenty".