61421703840000 has 2025 divisors, whose sum is σ = 267086304329691. Its totient is φ = 13994104320000.

The previous prime is 61421703839893. The next prime is 61421703840011. The reversal of 61421703840000 is 4830712416.

The square root of 61421703840000 is 7837200.

It is a perfect power (a square), and thus also a powerful number.

61421703840000 is a `hidden beast` number, since 6 + 1 + 4 + 217 + 0 + 38 + 400 + 0 + 0 = 666.

61421703840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4815461581056 + 56606242258944 = 2194416^2 + 7523712^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

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 (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 197497439845 + ... + 197497440155.

Almost surely, 2^{61421703840000} is an apocalyptic number.

61421703840000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61421703840000 is the 7837200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61421703840000

61421703840000 is an abundant number, since it is smaller than the sum of its proper divisors (205664600489691).

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

61421703840000 is an frugal number, since it uses more digits than its factorization.

61421703840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

61421703840000 divided by its sum of digits (36) gives a square (1706158440000 = 1306200²).

The spelling of 61421703840000 in words is "sixty-one trillion, four hundred twenty-one billion, seven hundred three million, eight hundred forty thousand".