42375129750 has 448 divisors, whose sum is σ = 125294734656. Its totient is φ = 10715328000.

The previous prime is 42375129733. The next prime is 42375129767. The reversal of 42375129750 is 5792157324.

It is a happy number.

42375129750 is a `hidden beast` number, since 42 + 3 + 7 + 512 + 97 + 5 + 0 = 666.

42375129750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42375129733) and next prime (42375129767).

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

It is a junction number, because it is equal to n+sod(n) for n = 42375129696 and 42375129705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 396029197 + ... + 396029303.

It is an arithmetic number, because the mean of its divisors is an integer number (279675747).

Almost surely, 2^42375129750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42375129750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62647367328).

42375129750 is an abundant number, since it is smaller than the sum of its proper divisors (82919604906).

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

42375129750 is a wasteful number, since it uses less digits than its factorization.

42375129750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 42375129750 in words is "forty-two billion, three hundred seventy-five million, one hundred twenty-nine thousand, seven hundred fifty".