1421814384000 has 1152 divisors, whose sum is σ = 5594085413280. Its totient is φ = 358840627200.

The previous prime is 1421814383993. The next prime is 1421814384139. The reversal of 1421814384000 is 4834181241.

It is a happy number.

1421814384000 is a `hidden beast` number, since 1 + 4 + 2 + 181 + 438 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1421814384000² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 1403567494 + ... + 1403568506.

Almost surely, 2^{1421814384000} is an apocalyptic number.

1421814384000 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 1421814384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797042706640).

1421814384000 is an abundant number, since it is smaller than the sum of its proper divisors (4172271029280).

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

1421814384000 is an equidigital number, since it uses as much as digits as its factorization.

1421814384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1421814384000 in words is "one trillion, four hundred twenty-one billion, eight hundred fourteen million, three hundred eighty-four thousand".