4013828457912 has 1344 divisors, whose sum is σ = 14747000832000. Its totient is φ = 1021769199360.

The previous prime is 4013828457901. The next prime is 4013828457941. The reversal of 4013828457912 is 2197548283104.

4013828457912 is a `hidden beast` number, since 4 + 0 + 1 + 38 + 28 + 4 + 579 + 12 = 666.

4013828457912 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 2×4013828457912² (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 335 ways as a sum of consecutive naturals, for example, 10479969673 + ... + 10479970055.

Almost surely, 2^{4013828457912} is an apocalyptic number.

4013828457912 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 4013828457912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373500416000).

4013828457912 is an abundant number, since it is smaller than the sum of its proper divisors (10733172374088).

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

4013828457912 is a wasteful number, since it uses less digits than its factorization.

4013828457912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4013828457912 in words is "four trillion, thirteen billion, eight hundred twenty-eight million, four hundred fifty-seven thousand, nine hundred twelve".