1426406400 has 396 divisors, whose sum is σ = 5266423344. Its totient is φ = 368640000.

The previous prime is 1426406347. The next prime is 1426406411. The reversal of 1426406400 is 46046241.

1426406400 is a `hidden beast` number, since 14 + 2 + 6 + 4 + 0 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9446325 + ... + 9446475.

Almost surely, 2^1426406400 is an apocalyptic number.

1426406400 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 1426406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633211672).

1426406400 is an abundant number, since it is smaller than the sum of its proper divisors (3840016944).

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

1426406400 is a wasteful number, since it uses less digits than its factorization.

1426406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1426406400 is about 37767.7958054213. The cubic root of 1426406400 is about 1125.6786423869.

The spelling of 1426406400 in words is "one billion, four hundred twenty-six million, four hundred six thousand, four hundred".