42203488320 has 1120 divisors, whose sum is σ = 180568396800. Its totient is φ = 9347788800.

The previous prime is 42203488307. The next prime is 42203488357. The reversal of 42203488320 is 2388430224.

It is a happy number.

42203488320 is a `hidden beast` number, since 4 + 220 + 34 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×42203488320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 417856270 + ... + 417856370.

Almost surely, 2^42203488320 is an apocalyptic number.

42203488320 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 42203488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90284198400).

42203488320 is an abundant number, since it is smaller than the sum of its proper divisors (138364908480).

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

42203488320 is a wasteful number, since it uses less digits than its factorization.

42203488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42203488320 in words is "forty-two billion, two hundred three million, four hundred eighty-eight thousand, three hundred twenty".