74066214204400 has 240 divisors, whose sum is σ = 202963694492160. Its totient is φ = 25710926771200.

The previous prime is 74066214204361. The next prime is 74066214204413. The reversal of 74066214204400 is 440241266047.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50176086 + ... + 51631114.

It is an arithmetic number, because the mean of its divisors is an integer number (845682060384).

Almost surely, 2^{74066214204400} 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 74066214204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481847246080).

74066214204400 is an abundant number, since it is smaller than the sum of its proper divisors (128897480287760).

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

74066214204400 is a wasteful number, since it uses less digits than its factorization.

74066214204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455584 (or 1455573 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 74066214204400 in words is "seventy-four trillion, sixty-six billion, two hundred fourteen million, two hundred four thousand, four hundred".