1426361400 has 216 divisors, whose sum is σ = 4978758720. Its totient is φ = 380013120.

The previous prime is 1426361393. The next prime is 1426361441. The reversal of 1426361400 is 41636241.

1426361400 is a `hidden beast` number, since 1 + 42 + 6 + 3 + 614 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1311657 + ... + 1312743.

Almost surely, 2^1426361400 is an apocalyptic number.

1426361400 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 1426361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489379360).

1426361400 is an abundant number, since it is smaller than the sum of its proper divisors (3552397320).

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

1426361400 is an equidigital number, since it uses as much as digits as its factorization.

1426361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1426361400 is about 37767.2000550742. The cubic root of 1426361400 is about 1125.6668046966. Note that the first 3 decimals are identical.

Adding to 1426361400 its reverse (41636241), we get a palindrome (1467997641).

The spelling of 1426361400 in words is "one billion, four hundred twenty-six million, three hundred sixty-one thousand, four hundred".