42733324389888 has 720 divisors, whose sum is σ = 140203134175104. Its totient is φ = 12903885066240.

The previous prime is 42733324389883. The next prime is 42733324389901. The reversal of 42733324389888 is 88898342333724.

42733324389888 is a `hidden beast` number, since 4 + 2 + 73 + 3 + 32 + 438 + 98 + 8 + 8 = 666.

It is a super-2 number, since 2×42733324389888² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42733324389883) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11344124581 + ... + 11344128347.

Almost surely, 2^{42733324389888} is an apocalyptic number.

42733324389888 is a gapful number since it is divisible by the number (48) 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 42733324389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70101567087552).

42733324389888 is an abundant number, since it is smaller than the sum of its proper divisors (97469809785216).

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

42733324389888 is an frugal number, since it uses more digits than its factorization.

42733324389888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4090 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 42733324389888 in words is "forty-two trillion, seven hundred thirty-three billion, three hundred twenty-four million, three hundred eighty-nine thousand, eight hundred eighty-eight".