42013293840 has 600 divisors, whose sum is σ = 170689825152. Its totient is φ = 9549550080.

The previous prime is 42013293823. The next prime is 42013293841. The reversal of 42013293840 is 4839231024.

42013293840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42013293795 and 42013293804.

It is not an unprimeable number, because it can be changed into a prime (42013293841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97478425 + ... + 97478855.

Almost surely, 2^42013293840 is an apocalyptic number.

42013293840 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 42013293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344912576).

42013293840 is an abundant number, since it is smaller than the sum of its proper divisors (128676531312).

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

42013293840 is a wasteful number, since it uses less digits than its factorization.

42013293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42013293840 in words is "forty-two billion, thirteen million, two hundred ninety-three thousand, eight hundred forty".