74401035720000 has 1680 divisors, whose sum is σ = 286619286868992. Its totient is φ = 16877893120000.

The previous prime is 74401035719999. The next prime is 74401035720061. The reversal of 74401035720000 is 2753010447.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32819158867 + ... + 32819161133.

Almost surely, 2^{74401035720000} 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 74401035720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143309643434496).

74401035720000 is an abundant number, since it is smaller than the sum of its proper divisors (212218251148992).

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

74401035720000 is a wasteful number, since it uses less digits than its factorization.

74401035720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

Adding to 74401035720000 its reverse (2753010447), we get a palindrome (74403788730447).

The spelling of 74401035720000 in words is "seventy-four trillion, four hundred one billion, thirty-five million, seven hundred twenty thousand".