742416334512 has 80 divisors (see below), whose sum is σ = 1936227894912. Its totient is φ = 245109312000.

The previous prime is 742416334501. The next prime is 742416334519. The reversal of 742416334512 is 215433614247.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (742416334519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31918887 + ... + 31942137.

Almost surely, 2^742416334512 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 742416334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968113947456).

742416334512 is an abundant number, since it is smaller than the sum of its proper divisors (1193811560400).

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

742416334512 is a wasteful number, since it uses less digits than its factorization.

742416334512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29586 (or 29580 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

Adding to 742416334512 its reverse (215433614247), we get a palindrome (957849948759).

The spelling of 742416334512 in words is "seven hundred forty-two billion, four hundred sixteen million, three hundred thirty-four thousand, five hundred twelve".