203428330392000 has 1792 divisors, whose sum is σ = 829941860966400. Its totient is φ = 42850418688000.

The previous prime is 203428330391963. The next prime is 203428330392037. The reversal of 203428330392000 is 293033824302.

It is an interprime number because it is at equal distance from previous prime (203428330391963) and next prime (203428330392037).

It is a self number, because there is not a number n which added to its sum of digits gives 203428330392000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30213620634 + ... + 30213627366.

It is an arithmetic number, because the mean of its divisors is an integer number (463137199200).

Almost surely, 2^{203428330392000} is an apocalyptic number.

203428330392000 is a gapful number since it is divisible by the number (20) 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 203428330392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414970930483200).

203428330392000 is an abundant number, since it is smaller than the sum of its proper divisors (626513530574400).

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

203428330392000 is a wasteful number, since it uses less digits than its factorization.

203428330392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 203428330392000 in words is "two hundred three trillion, four hundred twenty-eight billion, three hundred thirty million, three hundred ninety-two thousand".