61430704256400 has 60 divisors (see below), whose sum is σ = 196783022638512. Its totient is φ = 16381521134720.

The previous prime is 61430704256267. The next prime is 61430704256401. The reversal of 61430704256400 is 465240703416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (61430704256401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25596125574 + ... + 25596127973.

Almost surely, 2^{61430704256400} is an apocalyptic number.

61430704256400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61430704256400 is an abundant number, since it is smaller than the sum of its proper divisors (135352318382112).

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

61430704256400 is a wasteful number, since it uses less digits than its factorization.

61430704256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51192253568 (or 51192253557 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 61430704256400 its reverse (465240703416), we get a palindrome (61895944959816).

The spelling of 61430704256400 in words is "sixty-one trillion, four hundred thirty billion, seven hundred four million, two hundred fifty-six thousand, four hundred".