4045742044200 has 288 divisors, whose sum is σ = 14359063773600. Its totient is φ = 1018008000000.

The previous prime is 4045742044147. The next prime is 4045742044243. The reversal of 4045742044200 is 24402475404.

4045742044200 is a `hidden beast` number, since 4 + 0 + 4 + 574 + 20 + 44 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8348550 + ... + 8819850.

It is an arithmetic number, because the mean of its divisors is an integer number (49857860325).

Almost surely, 2^{4045742044200} is an apocalyptic number.

4045742044200 is a gapful number since it is divisible by the number (40) 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 4045742044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179531886800).

4045742044200 is an abundant number, since it is smaller than the sum of its proper divisors (10313321729400).

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

4045742044200 is a wasteful number, since it uses less digits than its factorization.

4045742044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471593 (or 471581 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 4045742044200 in words is "four trillion, forty-five billion, seven hundred forty-two million, forty-four thousand, two hundred".