1421121723840 has 3360 divisors, whose sum is σ = 6897420661824. Its totient is φ = 274232770560.

The previous prime is 1421121723811. The next prime is 1421121723863. The reversal of 1421121723840 is 483271211241.

1421121723840 is a `hidden beast` number, since 1 + 421 + 121 + 72 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1421121723795 and 1421121723804.

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 17121948439 + ... + 17121948521.

Almost surely, 2^{1421121723840} is an apocalyptic number.

1421121723840 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 1421121723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448710330912).

1421121723840 is an abundant number, since it is smaller than the sum of its proper divisors (5476298937984).

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

1421121723840 is a wasteful number, since it uses less digits than its factorization.

1421121723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1421121723840 in words is "one trillion, four hundred twenty-one billion, one hundred twenty-one million, seven hundred twenty-three thousand, eight hundred forty".