1100438342172 has 192 divisors, whose sum is σ = 3135879577600. Its totient is φ = 331673771520.

The previous prime is 1100438342161. The next prime is 1100438342189. The reversal of 1100438342172 is 2712438340011.

1100438342172 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 438 + 3 + 4 + 217 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14047272 + ... + 14125392.

Almost surely, 2^{1100438342172} is an apocalyptic number.

1100438342172 is a gapful number since it is divisible by the number (12) 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 1100438342172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567939788800).

1100438342172 is an abundant number, since it is smaller than the sum of its proper divisors (2035441235428).

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

1100438342172 is a wasteful number, since it uses less digits than its factorization.

1100438342172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78353 (or 78345 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1100438342172 in words is "one trillion, one hundred billion, four hundred thirty-eight million, three hundred forty-two thousand, one hundred seventy-two".