4074644560000 has 320 divisors, whose sum is σ = 11756046360960. Its totient is φ = 1377331200000.

The previous prime is 4074644559971. The next prime is 4074644560001. The reversal of 4074644560000 is 654464704.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (4074644560001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39708760 + ... + 39811240.

It is an arithmetic number, because the mean of its divisors is an integer number (36737644878).

Almost surely, 2^{4074644560000} is an apocalyptic number.

4074644560000 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 4074644560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878023180480).

4074644560000 is an abundant number, since it is smaller than the sum of its proper divisors (7681401800960).

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

4074644560000 is an equidigital number, since it uses as much as digits as its factorization.

4074644560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102593 (or 102566 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 4074644560000 in words is "four trillion, seventy-four billion, six hundred forty-four million, five hundred sixty thousand".