4013369555328 has 448 divisors, whose sum is σ = 14172590858400. Its totient is φ = 1107131203584.

The previous prime is 4013369555303. The next prime is 4013369555347. The reversal of 4013369555328 is 8235559633104.

4013369555328 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 69 + 5 + 553 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4013369555328² (a number of 26 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 18836400 + ... + 19048272.

Almost surely, 2^{4013369555328} is an apocalyptic number.

4013369555328 is a gapful number since it is divisible by the number (48) 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 4013369555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086295429200).

4013369555328 is an abundant number, since it is smaller than the sum of its proper divisors (10159221303072).

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

4013369555328 is an equidigital number, since it uses as much as digits as its factorization.

4013369555328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211941 (or 211914 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 4013369555328 in words is "four trillion, thirteen billion, three hundred sixty-nine million, five hundred fifty-five thousand, three hundred twenty-eight".