1100042973400 has 1152 divisors, whose sum is σ = 3462528384000. Its totient is φ = 321842626560.

The previous prime is 1100042973377. The next prime is 1100042973427. The reversal of 1100042973400 is 43792400011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13253529759 + ... + 13253529841.

It is an arithmetic number, because the mean of its divisors is an integer number (3005667000).

Almost surely, 2^{1100042973400} is an apocalyptic number.

1100042973400 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 1100042973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731264192000).

1100042973400 is an abundant number, since it is smaller than the sum of its proper divisors (2362485410600).

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

1100042973400 is a wasteful number, since it uses less digits than its factorization.

1100042973400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 1100042973400 in words is "one trillion, one hundred billion, forty-two million, nine hundred seventy-three thousand, four hundred".