742438999200 has 576 divisors, whose sum is σ = 2638706112000. Its totient is φ = 180603924480.

The previous prime is 742438999199. The next prime is 742438999217. The reversal of 742438999200 is 2999834247.

It is a Cunningham number, because it is equal to 861649²-1.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818565147 + ... + 818566053.

It is an arithmetic number, because the mean of its divisors is an integer number (4581087000).

Almost surely, 2^742438999200 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 742438999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319353056000).

742438999200 is an abundant number, since it is smaller than the sum of its proper divisors (1896267112800).

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

742438999200 is a wasteful number, since it uses less digits than its factorization.

742438999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 742438999200 in words is "seven hundred forty-two billion, four hundred thirty-eight million, nine hundred ninety-nine thousand, two hundred".