42735322353724 has 384 divisors, whose sum is σ = 105237828993024. Its totient is φ = 14646538368000.

The previous prime is 42735322353637. The next prime is 42735322353727.

42735322353724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735322353727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8927368059 + ... + 8927372845.

It is an arithmetic number, because the mean of its divisors is an integer number (274056846336).

Almost surely, 2^{42735322353724} is an apocalyptic number.

42735322353724 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 42735322353724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52618914496512).

42735322353724 is an abundant number, since it is smaller than the sum of its proper divisors (62502506639300).

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

42735322353724 is a wasteful number, since it uses less digits than its factorization.

42735322353724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5935 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 52.

The spelling of 42735322353724 in words is "forty-two trillion, seven hundred thirty-five billion, three hundred twenty-two million, three hundred fifty-three thousand, seven hundred twenty-four".