42023298240 has 1344 divisors, whose sum is σ = 194729453568. Its totient is φ = 8051097600.

The previous prime is 42023298227. The next prime is 42023298259. The reversal of 42023298240 is 4289232024.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 42023298195 and 42023298204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267664242 + ... + 267664398.

Almost surely, 2^42023298240 is an apocalyptic number.

42023298240 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 42023298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97364726784).

42023298240 is an abundant number, since it is smaller than the sum of its proper divisors (152706155328).

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

42023298240 is a wasteful number, since it uses less digits than its factorization.

42023298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

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

The spelling of 42023298240 in words is "forty-two billion, twenty-three million, two hundred ninety-eight thousand, two hundred forty".