42429061584 has 960 divisors, whose sum is σ = 165739392000. Its totient is φ = 10073935872.

The previous prime is 42429061537. The next prime is 42429061603. The reversal of 42429061584 is 48516092424.

It is a happy number.

42429061584 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 9 + 0 + 61 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1844741797 + ... + 1844741819.

It is an arithmetic number, because the mean of its divisors is an integer number (172645200).

Almost surely, 2^42429061584 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 42429061584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696000).

42429061584 is an abundant number, since it is smaller than the sum of its proper divisors (123310330416).

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

42429061584 is a wasteful number, since it uses less digits than its factorization.

42429061584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42429061584 in words is "forty-two billion, four hundred twenty-nine million, sixty-one thousand, five hundred eighty-four".