1421194118400 has 810 divisors, whose sum is σ = 6112838343150. Its totient is φ = 324838563840.

The previous prime is 1421194118297. The next prime is 1421194118411. The reversal of 1421194118400 is 48114911241.

1421194118400 is a `hidden beast` number, since 1 + 42 + 11 + 94 + 118 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20777492736 + 1400416625664 = 144144^2 + 1183392^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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 89 ways as a sum of consecutive naturals, for example, 25373626 + ... + 25429574.

Almost surely, 2^{1421194118400} is an apocalyptic number.

1421194118400 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 1421194118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056419171575).

1421194118400 is an abundant number, since it is smaller than the sum of its proper divisors (4691644224750).

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

1421194118400 is an equidigital number, since it uses as much as digits as its factorization.

1421194118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56001 (or 55966 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1421194118400 in words is "one trillion, four hundred twenty-one billion, one hundred ninety-four million, one hundred eighteen thousand, four hundred".