1100253320400 has 120 divisors (see below), whose sum is σ = 3795591892960. Its totient is φ = 270831582720.

The previous prime is 1100253320393. The next prime is 1100253320407. The reversal of 1100253320400 is 40233520011.

It is an interprime number because it is at equal distance from previous prime (1100253320393) and next prime (1100253320407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100253320407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35248930 + ... + 35280129.

Almost surely, 2^{1100253320400} is an apocalyptic number.

1100253320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100253320400 is an abundant number, since it is smaller than the sum of its proper divisors (2695338572560).

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

1100253320400 is a wasteful number, since it uses less digits than its factorization.

1100253320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70529093 (or 70529082 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1100253320400 its reverse (40233520011), we get a palindrome (1140486840411).

The spelling of 1100253320400 in words is "one trillion, one hundred billion, two hundred fifty-three million, three hundred twenty thousand, four hundred".