1110004067952 has 480 divisors, whose sum is σ = 3519649013760. Its totient is φ = 334711802880.

The previous prime is 1110004067903. The next prime is 1110004067971. The reversal of 1110004067952 is 2597604000111.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021162353 + ... + 1021163439.

It is an arithmetic number, because the mean of its divisors is an integer number (7332602112).

Almost surely, 2^{1110004067952} is an apocalyptic number.

1110004067952 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 1110004067952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759824506880).

1110004067952 is an abundant number, since it is smaller than the sum of its proper divisors (2409644945808).

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

1110004067952 is a wasteful number, since it uses less digits than its factorization.

1110004067952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1110004067952 in words is "one trillion, one hundred ten billion, four million, sixty-seven thousand, nine hundred fifty-two".