61230218400 has 216 divisors, whose sum is σ = 232522109820. Its totient is φ = 15072030720.

The previous prime is 61230218383. The next prime is 61230218429. The reversal of 61230218400 is 481203216.

61230218400 is a `hidden beast` number, since 6 + 1 + 230 + 21 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2257010064 + 58973208336 = 47508^2 + 242844^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233485 + ... + 420684.

Almost surely, 2^61230218400 is an apocalyptic number.

61230218400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61230218400 is an abundant number, since it is smaller than the sum of its proper divisors (171291891420).

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

61230218400 is a wasteful number, since it uses less digits than its factorization.

61230218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654208 (or 654192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 61230218400 in words is "sixty-one billion, two hundred thirty million, two hundred eighteen thousand, four hundred".