42023249280 has 256 divisors, whose sum is σ = 157588286400. Its totient is φ = 10546937856.

The previous prime is 42023249251. The next prime is 42023249369. The reversal of 42023249280 is 8294232024.

It is a super-3 number, since 3×42023249280³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222234 + ... + 365286.

Almost surely, 2^42023249280 is an apocalyptic number.

42023249280 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 42023249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78794143200).

42023249280 is an abundant number, since it is smaller than the sum of its proper divisors (115565037120).

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

42023249280 is a wasteful number, since it uses less digits than its factorization.

42023249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143098 (or 143080 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42023249280 in words is "forty-two billion, twenty-three million, two hundred forty-nine thousand, two hundred eighty".