4001380024320 has 960 divisors, whose sum is σ = 16415166028800. Its totient is φ = 905828106240.

The previous prime is 4001380024273. The next prime is 4001380024337. The reversal of 4001380024320 is 234200831004.

4001380024320 is a `hidden beast` number, since 40 + 0 + 1 + 380 + 0 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4001380024320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1687632735 + ... + 1687635105.

It is an arithmetic number, because the mean of its divisors is an integer number (17099131280).

Almost surely, 2^{4001380024320} is an apocalyptic number.

4001380024320 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 4001380024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207583014400).

4001380024320 is an abundant number, since it is smaller than the sum of its proper divisors (12413786004480).

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

4001380024320 is a wasteful number, since it uses less digits than its factorization.

4001380024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4001380024320 its reverse (234200831004), we get a palindrome (4235580855324).

The spelling of 4001380024320 in words is "four trillion, one billion, three hundred eighty million, twenty-four thousand, three hundred twenty".