4004622057744 has 640 divisors, whose sum is σ = 14594100203520. Its totient is φ = 1029758400000.

The previous prime is 4004622057743. The next prime is 4004622057773. The reversal of 4004622057744 is 4477502264004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004622057744.

It is not an unprimeable number, because it can be changed into a prime (4004622057743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406514419 + ... + 406524269.

It is an arithmetic number, because the mean of its divisors is an integer number (22803281568).

Almost surely, 2^{4004622057744} is an apocalyptic number.

4004622057744 is a gapful number since it is divisible by the number (44) 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 4004622057744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297050101760).

4004622057744 is an abundant number, since it is smaller than the sum of its proper divisors (10589478145776).

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

4004622057744 is a wasteful number, since it uses less digits than its factorization.

4004622057744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 4004622057744 in words is "four trillion, four billion, six hundred twenty-two million, fifty-seven thousand, seven hundred forty-four".