42263133136224 has 384 divisors, whose sum is σ = 157717465500672. Its totient is φ = 9536958627840.

The previous prime is 42263133136223. The next prime is 42263133136247.

42263133136224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42263133136223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11301697 + ... + 14568960.

It is an arithmetic number, because the mean of its divisors is an integer number (410722566408).

Almost surely, 2^{42263133136224} is an apocalyptic number.

42263133136224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42263133136224 is an abundant number, since it is smaller than the sum of its proper divisors (115454332364448).

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

42263133136224 is a wasteful number, since it uses less digits than its factorization.

42263133136224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25870718 (or 25870710 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 42263133136224 in words is "forty-two trillion, two hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, two hundred twenty-four".