42331300134240 has 384 divisors, whose sum is σ = 151214532618240. Its totient is φ = 9867946549248.

The previous prime is 42331300134239. The next prime is 42331300134269. The reversal of 42331300134240 is 4243100313324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42331300134198 and 42331300134207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327991002 + ... + 328120038.

It is an arithmetic number, because the mean of its divisors is an integer number (393787845360).

Almost surely, 2^{42331300134240} is an apocalyptic number.

42331300134240 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 42331300134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75607266309120).

42331300134240 is an abundant number, since it is smaller than the sum of its proper divisors (108883232484000).

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

42331300134240 is a wasteful number, since it uses less digits than its factorization.

42331300134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131854 (or 131846 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42331300134240 its reverse (4243100313324), we get a palindrome (46574400447564).

The spelling of 42331300134240 in words is "forty-two trillion, three hundred thirty-one billion, three hundred million, one hundred thirty-four thousand, two hundred forty".