18401126400 has 1008 divisors, whose sum is σ = 74925477900. Its totient is φ = 4459069440.

The previous prime is 18401126389. The next prime is 18401126411. The reversal of 18401126400 is 462110481.

It is a happy number.

18401126400 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 1 + 12 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18401126389) and next prime (18401126411).

It can be written as a sum of positive squares in 6 ways, for example, as 9532007424 + 8869118976 = 97632^2 + 94176^2 .

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

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 83 ways as a sum of consecutive naturals, for example, 634521586 + ... + 634521614.

Almost surely, 2^18401126400 is an apocalyptic number.

18401126400 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 18401126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37462738950).

18401126400 is an abundant number, since it is smaller than the sum of its proper divisors (56524351500).

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

18401126400 is an equidigital number, since it uses as much as digits as its factorization.

18401126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 18401126400 its reverse (462110481), we get a palindrome (18863236881).

The spelling of 18401126400 in words is "eighteen billion, four hundred one million, one hundred twenty-six thousand, four hundred".