1100340344400 has 240 divisors, whose sum is σ = 3875472334848. Its totient is φ = 264648384000.

The previous prime is 1100340344381. The next prime is 1100340344407. The reversal of 1100340344400 is 44430430011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1100340344400² (a number of 25 digits) contains 22 as substring.

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 (1100340344407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348215 + ... + 2004585.

Almost surely, 2^{1100340344400} is an apocalyptic number.

1100340344400 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 1100340344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937736167424).

1100340344400 is an abundant number, since it is smaller than the sum of its proper divisors (2775131990448).

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

1100340344400 is a wasteful number, since it uses less digits than its factorization.

1100340344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656530 (or 656519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1100340344400 its reverse (44430430011), we get a palindrome (1144770774411).

The spelling of 1100340344400 in words is "one trillion, one hundred billion, three hundred forty million, three hundred forty-four thousand, four hundred".