1000335042000 has 640 divisors, whose sum is σ = 4123057536000. Its totient is φ = 227100672000.

The previous prime is 1000335041983. The next prime is 1000335042043. The reversal of 1000335042000 is 2405330001.

1000335042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56313120 + ... + 56330880.

It is an arithmetic number, because the mean of its divisors is an integer number (6442277400).

Almost surely, 2^{1000335042000} is an apocalyptic number.

1000335042000 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 1000335042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061528768000).

1000335042000 is an abundant number, since it is smaller than the sum of its proper divisors (3122722494000).

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

1000335042000 is a wasteful number, since it uses less digits than its factorization.

1000335042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17949 (or 17927 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 1000335042000 in words is "one trillion, three hundred thirty-five million, forty-two thousand".