42673144137624 has 1024 divisors, whose sum is σ = 168614891827200. Its totient is φ = 9623826432000.

The previous prime is 42673144137587. The next prime is 42673144137653.

It is a happy number.

42673144137624 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 3 + 1 + 4 + 4 + 1 + 3 + 7 + 624 = 666.

42673144137624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12133391514 + ... + 12133395030.

It is an arithmetic number, because the mean of its divisors is an integer number (164662980300).

Almost surely, 2^{42673144137624} is an apocalyptic number.

42673144137624 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 42673144137624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84307445913600).

42673144137624 is an abundant number, since it is smaller than the sum of its proper divisors (125941747689576).

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

42673144137624 is a wasteful number, since it uses less digits than its factorization.

42673144137624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6871 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 42673144137624 in words is "forty-two trillion, six hundred seventy-three billion, one hundred forty-four million, one hundred thirty-seven thousand, six hundred twenty-four".