1103072240400 has 240 divisors, whose sum is σ = 3893814488256. Its totient is φ = 265210767360.

The previous prime is 1103072240383. The next prime is 1103072240401. The reversal of 1103072240400 is 40422703011.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (1103072240401) 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, 151407 + ... + 1493006.

Almost surely, 2^{1103072240400} is an apocalyptic number.

1103072240400 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 1103072240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946907244128).

1103072240400 is an abundant number, since it is smaller than the sum of its proper divisors (2790742247856).

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

1103072240400 is a wasteful number, since it uses less digits than its factorization.

1103072240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644490 (or 1644479 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 1103072240400 its reverse (40422703011), we get a palindrome (1143494943411).

The spelling of 1103072240400 in words is "one trillion, one hundred three billion, seventy-two million, two hundred forty thousand, four hundred".