4013504568192 has 512 divisors, whose sum is σ = 12764459520000. Its totient is φ = 1093142937600.

The previous prime is 4013504568131. The next prime is 4013504568239. The reversal of 4013504568192 is 2918654053104.

4013504568192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013504568192² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5582064409 + ... + 5582065127.

It is an arithmetic number, because the mean of its divisors is an integer number (24930585000).

Almost surely, 2^{4013504568192} is an apocalyptic number.

4013504568192 is a gapful number since it is divisible by the number (42) 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 4013504568192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382229760000).

4013504568192 is an abundant number, since it is smaller than the sum of its proper divisors (8750954951808).

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

4013504568192 is a wasteful number, since it uses less digits than its factorization.

4013504568192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 4013504568192 in words is "four trillion, thirteen billion, five hundred four million, five hundred sixty-eight thousand, one hundred ninety-two".