4004385914880 has 896 divisors, whose sum is σ = 16234976318400. Its totient is φ = 927712935936.

The previous prime is 4004385914849. The next prime is 4004385914909. The reversal of 4004385914880 is 884195834004.

It is a happy number.

4004385914880 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 3 + 8 + 591 + 48 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235552112632 + ... + 235552112648.

Almost surely, 2^{4004385914880} is an apocalyptic number.

4004385914880 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 4004385914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117488159200).

4004385914880 is an abundant number, since it is smaller than the sum of its proper divisors (12230590403520).

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

4004385914880 is an frugal number, since it uses more digits than its factorization.

4004385914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4004385914880 in words is "four trillion, four billion, three hundred eighty-five million, nine hundred fourteen thousand, eight hundred eighty".