1000042033200 has 480 divisors, whose sum is σ = 3827555306496. Its totient is φ = 218226708480.

The previous prime is 1000042033187. The next prime is 1000042033231. The reversal of 1000042033200 is 23302400001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000042033200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107607754 + ... + 107617046.

Almost surely, 2^{1000042033200} is an apocalyptic number.

1000042033200 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 1000042033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913777653248).

1000042033200 is an abundant number, since it is smaller than the sum of its proper divisors (2827513273296).

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

1000042033200 is a wasteful number, since it uses less digits than its factorization.

1000042033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1000042033200 its reverse (23302400001), we get a palindrome (1023344433201).

The spelling of 1000042033200 in words is "one trillion, forty-two million, thirty-three thousand, two hundred".