42203728896000 has 1344 divisors, whose sum is σ = 170531283446784. Its totient is φ = 9077784576000.

The previous prime is 42203728895953. The next prime is 42203728896013. The reversal of 42203728896000 is 69882730224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 6214652605 + ... + 6214659395.

Almost surely, 2^{42203728896000} is an apocalyptic number.

42203728896000 is a gapful number since it is divisible by the number (40) 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 42203728896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85265641723392).

42203728896000 is an abundant number, since it is smaller than the sum of its proper divisors (128327554550784).

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

42203728896000 is an equidigital number, since it uses as much as digits as its factorization.

42203728896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 42203728896000 in words is "forty-two trillion, two hundred three billion, seven hundred twenty-eight million, eight hundred ninety-six thousand".