42312861000 has 768 divisors, whose sum is σ = 157977630720. Its totient is φ = 10575360000.

The previous prime is 42312860983. The next prime is 42312861001. The reversal of 42312861000 is 16821324.

42312861000 is a `hidden beast` number, since 4 + 23 + 1 + 28 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42312861001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 308852932 + ... + 308853068.

It is an arithmetic number, because the mean of its divisors is an integer number (205700040).

Almost surely, 2^42312861000 is an apocalyptic number.

42312861000 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 42312861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988815360).

42312861000 is an abundant number, since it is smaller than the sum of its proper divisors (115664769720).

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

42312861000 is a wasteful number, since it uses less digits than its factorization.

42312861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 42312861000 in words is "forty-two billion, three hundred twelve million, eight hundred sixty-one thousand".