4112828628480 has 1600 divisors, whose sum is σ = 17639445878208. Its totient is φ = 902643056640.

The previous prime is 4112828628373. The next prime is 4112828628509. The reversal of 4112828628480 is 848268282114.

It is a happy number.

4112828628480 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 8 + 2 + 8 + 628 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×4112828628480² (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 159 ways as a sum of consecutive naturals, for example, 1571580132 + ... + 1571582748.

Almost surely, 2^{4112828628480} is an apocalyptic number.

4112828628480 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 4112828628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819722939104).

4112828628480 is an abundant number, since it is smaller than the sum of its proper divisors (13526617249728).

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

4112828628480 is a wasteful number, since it uses less digits than its factorization.

4112828628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 4112828628480 in words is "four trillion, one hundred twelve billion, eight hundred twenty-eight million, six hundred twenty-eight thousand, four hundred eighty".