74241200000 has 384 divisors, whose sum is σ = 206536780800. Its totient is φ = 26348800000.

The previous prime is 74241199993. The next prime is 74241200009. The reversal of 74241200000 is 214247.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74241200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206799821 + ... + 206800179.

It is an arithmetic number, because the mean of its divisors is an integer number (537856200).

Almost surely, 2^74241200000 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 74241200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103268390400).

74241200000 is an abundant number, since it is smaller than the sum of its proper divisors (132295580800).

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

74241200000 is an equidigital number, since it uses as much as digits as its factorization.

74241200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

Adding to 74241200000 its reverse (214247), we get a palindrome (74241414247).

The spelling of 74241200000 in words is "seventy-four billion, two hundred forty-one million, two hundred thousand".