42286864800 has 72 divisors (see below), whose sum is σ = 137643752736. Its totient is φ = 11276496640.

The previous prime is 42286864793. The next prime is 42286864801. The reversal of 42286864800 is 846868224.

42286864800 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 2×42286864800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42286864800.

It is not an unprimeable number, because it can be changed into a prime (42286864801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8807364 + ... + 8812163.

It is an arithmetic number, because the mean of its divisors is an integer number (1911718788).

Almost surely, 2^42286864800 is an apocalyptic number.

42286864800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42286864800 is an abundant number, since it is smaller than the sum of its proper divisors (95356887936).

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

42286864800 is a wasteful number, since it uses less digits than its factorization.

42286864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17619550 (or 17619537 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 42286864800 in words is "forty-two billion, two hundred eighty-six million, eight hundred sixty-four thousand, eight hundred".