42429605760 has 512 divisors, whose sum is σ = 156828672000. Its totient is φ = 10829168640.

The previous prime is 42429605759. The next prime is 42429605761. The reversal of 42429605760 is 6750692424.

It is an interprime number because it is at equal distance from previous prime (42429605759) and next prime (42429605761).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42429605761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55174656 + ... + 55175424.

It is an arithmetic number, because the mean of its divisors is an integer number (306306000).

Almost surely, 2^42429605760 is an apocalyptic number.

42429605760 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 42429605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78414336000).

42429605760 is an abundant number, since it is smaller than the sum of its proper divisors (114399066240).

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

42429605760 is a wasteful number, since it uses less digits than its factorization.

42429605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 42429605760 in words is "forty-two billion, four hundred twenty-nine million, six hundred five thousand, seven hundred sixty".