1421331421824 has 640 divisors, whose sum is σ = 4530276241920. Its totient is φ = 441537454080.

The previous prime is 1421331421819. The next prime is 1421331421847. The reversal of 1421331421824 is 4281241331241.

1421331421824 is a `hidden beast` number, since 1 + 421 + 3 + 3 + 14 + 218 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1272453714 + ... + 1272454830.

It is an arithmetic number, because the mean of its divisors is an integer number (7078556628).

Almost surely, 2^{1421331421824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421331421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265138120960).

1421331421824 is an abundant number, since it is smaller than the sum of its proper divisors (3108944820096).

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

1421331421824 is a wasteful number, since it uses less digits than its factorization.

1421331421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1297 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 1421331421824 in words is "one trillion, four hundred twenty-one billion, three hundred thirty-one million, four hundred twenty-one thousand, eight hundred twenty-four".