1101282336400 has 135 divisors (see below), whose sum is σ = 2672261551771. Its totient is φ = 436155742720.

The previous prime is 1101282336397. The next prime is 1101282336463. The reversal of 1101282336400 is 46332821011.

The square root of 1101282336400 is 1049420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3213075856 + 1098069260544 = 56684^2 + 1047888^2 .

It is a Duffinian number.

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, 2875410609 + ... + 2875410991.

Almost surely, 2^{1101282336400} is an apocalyptic number.

1101282336400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101282336400 is the 1049420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101282336400

1101282336400 is an abundant number, since it is smaller than the sum of its proper divisors (1570979215371).

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

1101282336400 is an frugal number, since it uses more digits than its factorization.

1101282336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1101282336400 in words is "one trillion, one hundred one billion, two hundred eighty-two million, three hundred thirty-six thousand, four hundred".