42340010302240 has 192 divisors, whose sum is σ = 114670174348800. Its totient is φ = 14471881998336.

The previous prime is 42340010302237. The next prime is 42340010302277. The reversal of 42340010302240 is 4220301004324.

It is a happy number.

It is a super-2 number, since 2×42340010302240² (a number of 28 digits) contains 22 as substring.

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, 1563675582 + ... + 1563702658.

It is an arithmetic number, because the mean of its divisors is an integer number (597240491400).

Almost surely, 2^{42340010302240} is an apocalyptic number.

42340010302240 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 42340010302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335087174400).

42340010302240 is an abundant number, since it is smaller than the sum of its proper divisors (72330164046560).

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

42340010302240 is a wasteful number, since it uses less digits than its factorization.

42340010302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31347 (or 31339 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42340010302240 its reverse (4220301004324), we get a palindrome (46560311306564).

The spelling of 42340010302240 in words is "forty-two trillion, three hundred forty billion, ten million, three hundred two thousand, two hundred forty".