42903666203328 has 2688 divisors, whose sum is σ = 168231458304000. Its totient is φ = 10157760184320.

The previous prime is 42903666203263. The next prime is 42903666203329. The reversal of 42903666203328 is 82330266630924.

It is not an unprimeable number, because it can be changed into a prime (42903666203329) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 159493182778 + ... + 159493183046.

It is an arithmetic number, because the mean of its divisors is an integer number (62586108000).

Almost surely, 2^{42903666203328} is an apocalyptic number.

42903666203328 is a gapful number since it is divisible by the number (48) 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 42903666203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84115729152000).

42903666203328 is an abundant number, since it is smaller than the sum of its proper divisors (125327792100672).

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

42903666203328 is a wasteful number, since it uses less digits than its factorization.

42903666203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 42903666203328 in words is "forty-two trillion, nine hundred three billion, six hundred sixty-six million, two hundred three thousand, three hundred twenty-eight".