42429602164248 has 256 divisors, whose sum is σ = 132052244889600. Its totient is φ = 12534640151040.

The previous prime is 42429602164223. The next prime is 42429602164277. The reversal of 42429602164248 is 84246120692424.

42429602164248 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 9 + 602 + 1 + 6 + 4 + 24 + 8 = 666.

It is a super-2 number, since 2×42429602164248² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42429602164194 and 42429602164203.

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, 9136090 + ... + 12974102.

It is an arithmetic number, because the mean of its divisors is an integer number (515829081600).

Almost surely, 2^{42429602164248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42429602164248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66026122444800).

42429602164248 is an abundant number, since it is smaller than the sum of its proper divisors (89622642725352).

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

42429602164248 is a wasteful number, since it uses less digits than its factorization.

42429602164248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838199 (or 3838189 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 42429602164248 in words is "forty-two trillion, four hundred twenty-nine billion, six hundred two million, one hundred sixty-four thousand, two hundred forty-eight".