1421314776000 has 2016 divisors, whose sum is σ = 6294141165312. Its totient is φ = 316402329600.

The previous prime is 1421314775987. The next prime is 1421314776019. The reversal of 1421314776000 is 6774131241.

1421314776000 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 1 + 47 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 4096007827 + ... + 4096008173.

It is an arithmetic number, because the mean of its divisors is an integer number (3122093832).

Almost surely, 2^{1421314776000} is an apocalyptic number.

1421314776000 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 1421314776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147070582656).

1421314776000 is an abundant number, since it is smaller than the sum of its proper divisors (4872826389312).

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

1421314776000 is an equidigital number, since it uses as much as digits as its factorization.

1421314776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1421314776000 in words is "one trillion, four hundred twenty-one billion, three hundred fourteen million, seven hundred seventy-six thousand".