1106531430400 has 312 divisors, whose sum is σ = 3034534710384. Its totient is φ = 396833587200.

The previous prime is 1106531430383. The next prime is 1106531430451. The reversal of 1106531430400 is 40341356011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82220472 + ... + 82233928.

Almost surely, 2^{1106531430400} is an apocalyptic number.

1106531430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106531430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517267355192).

1106531430400 is an abundant number, since it is smaller than the sum of its proper divisors (1928003279984).

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

1106531430400 is a wasteful number, since it uses less digits than its factorization.

1106531430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13575 (or 13548 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1106531430400 its reverse (40341356011), we get a palindrome (1146872786411).

The spelling of 1106531430400 in words is "one trillion, one hundred six billion, five hundred thirty-one million, four hundred thirty thousand, four hundred".