1103073098400 has 1440 divisors, whose sum is σ = 4976018264448. Its totient is φ = 231563059200.

The previous prime is 1103073098389. The next prime is 1103073098401. The reversal of 1103073098400 is 48903703011.

It is a happy number.

1103073098400 is a `hidden beast` number, since 1 + 1 + 0 + 307 + 309 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1103073098401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1668794070 + ... + 1668794730.

Almost surely, 2^{1103073098400} is an apocalyptic number.

1103073098400 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 1103073098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488009132224).

1103073098400 is an abundant number, since it is smaller than the sum of its proper divisors (3872945166048).

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

1103073098400 is a wasteful number, since it uses less digits than its factorization.

1103073098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1103073098400 in words is "one trillion, one hundred three billion, seventy-three million, ninety-eight thousand, four hundred".