1421164293120 has 2816 divisors, whose sum is σ = 6398116300800. Its totient is φ = 294298583040.

The previous prime is 1421164293113. The next prime is 1421164293139. The reversal of 1421164293120 is 213924611241.

1421164293120 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 642 + 9 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21211407327 + ... + 21211407393.

Almost surely, 2^{1421164293120} is an apocalyptic number.

1421164293120 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 1421164293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199058150400).

1421164293120 is an abundant number, since it is smaller than the sum of its proper divisors (4976952007680).

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

1421164293120 is a wasteful number, since it uses less digits than its factorization.

1421164293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 142116 and 4293120, that added together give a square (4435236 = 2106²).

The spelling of 1421164293120 in words is "one trillion, four hundred twenty-one billion, one hundred sixty-four million, two hundred ninety-three thousand, one hundred twenty".