74442057379200 has 1728 divisors, whose sum is σ = 324801291877920. Its totient is φ = 16155765964800.

The previous prime is 74442057379199. The next prime is 74442057379211. The reversal of 74442057379200 is 297375024447.

74442057379200 is a `hidden beast` number, since 7 + 4 + 4 + 42 + 0 + 573 + 7 + 9 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4446682830 + ... + 4446699570.

Almost surely, 2^{74442057379200} is an apocalyptic number.

74442057379200 is a gapful number since it is divisible by the number (70) 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 74442057379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162400645938960).

74442057379200 is an abundant number, since it is smaller than the sum of its proper divisors (250359234498720).

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

74442057379200 is a wasteful number, since it uses less digits than its factorization.

74442057379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 74442057379200 in words is "seventy-four trillion, four hundred forty-two billion, fifty-seven million, three hundred seventy-nine thousand, two hundred".