1101234134400 has 96 divisors (see below), whose sum is σ = 3627189961800. Its totient is φ = 293662433280.

The previous prime is 1101234134387. The next prime is 1101234134401. The reversal of 1101234134400 is 44314321011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101234134401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57346345 + ... + 57365544.

Almost surely, 2^{1101234134400} is an apocalyptic number.

1101234134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101234134400 is an abundant number, since it is smaller than the sum of its proper divisors (2525955827400).

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

1101234134400 is a wasteful number, since it uses less digits than its factorization.

1101234134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114711916 (or 114711899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1101234134400 its reverse (44314321011), we get a palindrome (1145548455411).

The spelling of 1101234134400 in words is "one trillion, one hundred one billion, two hundred thirty-four million, one hundred thirty-four thousand, four hundred".