42395034000 has 640 divisors, whose sum is σ = 155098644480. Its totient is φ = 9874176000.

The previous prime is 42395033999. The next prime is 42395034007. The reversal of 42395034000 is 43059324.

42395034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42395034000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42395034007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245057914 + ... + 245058086.

It is an arithmetic number, because the mean of its divisors is an integer number (242341632).

Almost surely, 2^42395034000 is an apocalyptic number.

42395034000 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 42395034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77549322240).

42395034000 is an abundant number, since it is smaller than the sum of its proper divisors (112703610480).

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

42395034000 is a wasteful number, since it uses less digits than its factorization.

42395034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 42395034000 in words is "forty-two billion, three hundred ninety-five million, thirty-four thousand".