4003085824920 has 768 divisors, whose sum is σ = 17699539132800. Its totient is φ = 794922024960.

The previous prime is 4003085824919. The next prime is 4003085824961. The reversal of 4003085824920 is 294285803004.

4003085824920 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 0 + 8 + 582 + 49 + 20 = 666.

It is a super-2 number, since 2×4003085824920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11524180 + ... + 11866460.

Almost surely, 2^{4003085824920} is an apocalyptic number.

4003085824920 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 4003085824920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849769566400).

4003085824920 is an abundant number, since it is smaller than the sum of its proper divisors (13696453307880).

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

4003085824920 is a wasteful number, since it uses less digits than its factorization.

4003085824920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342345 (or 342328 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4003085824920 in words is "four trillion, three billion, eighty-five million, eight hundred twenty-four thousand, nine hundred twenty".