426254400000 has 2400 divisors, whose sum is σ = 1949457476736. Its totient is φ = 91238400000.

The previous prime is 426254399969. The next prime is 426254400007. The reversal of 426254400000 is 4452624.

426254400000 is a `hidden beast` number, since 4 + 2 + 6 + 254 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (426254400007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18532799989 + ... + 18532800011.

Almost surely, 2^426254400000 is an apocalyptic number.

426254400000 is a gapful number since it is divisible by the number (40) 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 426254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974728738368).

426254400000 is an abundant number, since it is smaller than the sum of its proper divisors (1523203076736).

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

426254400000 is an equidigital number, since it uses as much as digits as its factorization.

426254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 426254400000 its reverse (4452624), we get a palindrome (426258852624).

The spelling of 426254400000 in words is "four hundred twenty-six billion, two hundred fifty-four million, four hundred thousand".