4001513674752 has 1152 divisors, whose sum is σ = 13893445762560. Its totient is φ = 1138655232000.

The previous prime is 4001513674751. The next prime is 4001513674789. The reversal of 4001513674752 is 2574763151004.

4001513674752 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 513 + 67 + 4 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4001513674752² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001513674698 and 4001513674707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001513674751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7680448252 + ... + 7680448772.

It is an arithmetic number, because the mean of its divisors is an integer number (12060282780).

Almost surely, 2^{4001513674752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001513674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946722881280).

4001513674752 is an abundant number, since it is smaller than the sum of its proper divisors (9891932087808).

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

4001513674752 is a wasteful number, since it uses less digits than its factorization.

4001513674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 4001513674752 in words is "four trillion, one billion, five hundred thirteen million, six hundred seventy-four thousand, seven hundred fifty-two".