4102731270400 has 243 divisors, whose sum is σ = 11816110783659. Its totient is φ = 1406261821440.

The previous prime is 4102731270389. The next prime is 4102731270413. The reversal of 4102731270400 is 40721372014.

The square root of 4102731270400 is 2025520.

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

4102731270400 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 4 ways, for example, as 2343054735616 + 1759676534784 = 1530704^2 + 1326528^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1134289392 + ... + 1134293008.

Almost surely, 2^{4102731270400} is an apocalyptic number.

4102731270400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4102731270400 is the 2025520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102731270400

4102731270400 is an abundant number, since it is smaller than the sum of its proper divisors (7713379513259).

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

4102731270400 is an frugal number, since it uses more digits than its factorization.

4102731270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 4102731270400 in words is "four trillion, one hundred two billion, seven hundred thirty-one million, two hundred seventy thousand, four hundred".