42993435744 has 1152 divisors, whose sum is σ = 166797066240. Its totient is φ = 10683187200.

The previous prime is 42993435731. The next prime is 42993435767. The reversal of 42993435744 is 44753439924.

42993435744 is a `hidden beast` number, since 4 + 29 + 9 + 3 + 43 + 574 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 914753929 + ... + 914753975.

It is an arithmetic number, because the mean of its divisors is an integer number (144789120).

Almost surely, 2^42993435744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42993435744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83398533120).

42993435744 is an abundant number, since it is smaller than the sum of its proper divisors (123803630496).

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

42993435744 is a wasteful number, since it uses less digits than its factorization.

42993435744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 42993435744 in words is "forty-two billion, nine hundred ninety-three million, four hundred thirty-five thousand, seven hundred forty-four".