101430644400 has 90 divisors (see below), whose sum is σ = 351992523740. Its totient is φ = 27048170880.

The previous prime is 101430644303. The next prime is 101430644407. The reversal of 101430644400 is 4446034101.

101430644400 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 0 + 644 + 4 + 0 + 0 = 666.

101430644400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (101430644407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14083990 + ... + 14091189.

Almost surely, 2^101430644400 is an apocalyptic number.

101430644400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101430644400 is an abundant number, since it is smaller than the sum of its proper divisors (250561879340).

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

101430644400 is a wasteful number, since it uses less digits than its factorization.

101430644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28175203 (or 28175189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101430644400 its reverse (4446034101), we get a palindrome (105876678501).

The spelling of 101430644400 in words is "one hundred one billion, four hundred thirty million, six hundred forty-four thousand, four hundred".