42324330014040 has 256 divisors, whose sum is σ = 136675550776320. Its totient is φ = 10460299069440.

The previous prime is 42324330014033. The next prime is 42324330014081. The reversal of 42324330014040 is 4041003342324.

It is a happy number.

It is a super-2 number, since 2×42324330014040² (a number of 28 digits) contains 22 as substring.

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 = 42324330013989 and 42324330014007.

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, 9404062 + ... + 13156178.

It is an arithmetic number, because the mean of its divisors is an integer number (533888870220).

Almost surely, 2^{42324330014040} is an apocalyptic number.

42324330014040 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 42324330014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68337775388160).

42324330014040 is an abundant number, since it is smaller than the sum of its proper divisors (94351220762280).

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

42324330014040 is a wasteful number, since it uses less digits than its factorization.

42324330014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752282 (or 3752278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42324330014040 its reverse (4041003342324), we get a palindrome (46365333356364).

The spelling of 42324330014040 in words is "forty-two trillion, three hundred twenty-four billion, three hundred thirty million, fourteen thousand, forty".