1100315125404 has 192 divisors, whose sum is σ = 3267369100800. Its totient is φ = 317125670400.

The previous prime is 1100315125387. The next prime is 1100315125409. The reversal of 1100315125404 is 4045215130011.

1100315125404 is a `hidden beast` number, since 1 + 100 + 3 + 1 + 5 + 12 + 540 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100315125409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2069944 + ... + 2546624.

It is an arithmetic number, because the mean of its divisors is an integer number (17017547400).

Almost surely, 2^{1100315125404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100315125404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633684550400).

1100315125404 is an abundant number, since it is smaller than the sum of its proper divisors (2167053975396).

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

1100315125404 is a wasteful number, since it uses less digits than its factorization.

1100315125404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476801 (or 476793 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1100315125404 in words is "one trillion, one hundred billion, three hundred fifteen million, one hundred twenty-five thousand, four hundred four".