42289848526464 has 2304 divisors, whose sum is σ = 166757352652800. Its totient is φ = 10038900326400.

The previous prime is 42289848526463. The next prime is 42289848526493. The reversal of 42289848526464 is 46462584898224.

It is a happy number.

42289848526464 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 9 + 84 + 85 + 2 + 6 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42289848526392 and 42289848526401.

It is not an unprimeable number, because it can be changed into a prime (42289848526463) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61917786667 + ... + 61917787349.

It is an arithmetic number, because the mean of its divisors is an integer number (72377323200).

Almost surely, 2^{42289848526464} is an apocalyptic number.

42289848526464 is a gapful number since it is divisible by the number (44) 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 42289848526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83378676326400).

42289848526464 is an abundant number, since it is smaller than the sum of its proper divisors (124467504126336).

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

42289848526464 is a wasteful number, since it uses less digits than its factorization.

42289848526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 849 counting only the distinct ones).

The product of its digits is 1698693120, while the sum is 72.

The spelling of 42289848526464 in words is "forty-two trillion, two hundred eighty-nine billion, eight hundred forty-eight million, five hundred twenty-six thousand, four hundred sixty-four".