74114014144400 has 30 divisors (see below), whose sum is σ = 178058918982882. Its totient is φ = 29645605657600.

The previous prime is 74114014144369. The next prime is 74114014144409. The reversal of 74114014144400 is 444141041147.

It can be written as a sum of positive squares in 3 ways, for example, as 2660669896336 + 71453344248064 = 1631156^2 + 8453008^2 .

It is not an unprimeable number, because it can be changed into a prime (74114014144409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92642517281 + ... + 92642518080.

Almost surely, 2^{74114014144400} is an apocalyptic number.

It is an amenable number.

74114014144400 is an abundant number, since it is smaller than the sum of its proper divisors (103944904838482).

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

74114014144400 is a wasteful number, since it uses less digits than its factorization.

74114014144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185285035379 (or 185285035368 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

Adding to 74114014144400 its reverse (444141041147), we get a palindrome (74558155185547).

The spelling of 74114014144400 in words is "seventy-four trillion, one hundred fourteen billion, fourteen million, one hundred forty-four thousand, four hundred".