742142179200 has 384 divisors, whose sum is σ = 2481659020800. Its totient is φ = 194903654400.

The previous prime is 742142179193. The next prime is 742142179217. The reversal of 742142179200 is 2971241247.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372373404 + ... + 372375396.

It is an arithmetic number, because the mean of its divisors is an integer number (6462653700).

Almost surely, 2^742142179200 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 742142179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240829510400).

742142179200 is an abundant number, since it is smaller than the sum of its proper divisors (1739516841600).

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

742142179200 is a wasteful number, since it uses less digits than its factorization.

742142179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 742142179200 in words is "seven hundred forty-two billion, one hundred forty-two million, one hundred seventy-nine thousand, two hundred".