10428879602412 has 288 divisors, whose sum is σ = 27983468298240. Its totient is φ = 3270387778560.

The previous prime is 10428879602369. The next prime is 10428879602431. The reversal of 10428879602412 is 21420697882401.

10428879602412 is a `hidden beast` number, since 1 + 0 + 4 + 28 + 8 + 7 + 9 + 602 + 4 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2910653973 + ... + 2910657555.

It is an arithmetic number, because the mean of its divisors is an integer number (97164820480).

Almost surely, 2^{10428879602412} is an apocalyptic number.

10428879602412 is a gapful number since it is divisible by the number (12) 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 10428879602412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991734149120).

10428879602412 is an abundant number, since it is smaller than the sum of its proper divisors (17554588695828).

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

10428879602412 is a wasteful number, since it uses less digits than its factorization.

10428879602412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10428879602412 in words is "ten trillion, four hundred twenty-eight billion, eight hundred seventy-nine million, six hundred two thousand, four hundred twelve".