10307430144 has 252 divisors, whose sum is σ = 33658830072. Its totient is φ = 3122841600.

The previous prime is 10307430139. The next prime is 10307430167. The reversal of 10307430144 is 44103470301.

10307430144 is a `hidden beast` number, since 10 + 307 + 4 + 301 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2050354 + ... + 2055374.

It is an arithmetic number, because the mean of its divisors is an integer number (133566786).

Almost surely, 2^10307430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10307430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829415036).

10307430144 is an abundant number, since it is smaller than the sum of its proper divisors (23351399928).

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

10307430144 is an frugal number, since it uses more digits than its factorization.

10307430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10307430144 in words is "ten billion, three hundred seven million, four hundred thirty thousand, one hundred forty-four".