10406042528 has 72 divisors (see below), whose sum is σ = 23550401952. Its totient is φ = 4433778432.

The previous prime is 10406042501. The next prime is 10406042639. The reversal of 10406042528 is 82524060401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10406042494 and 10406042503.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26750558 + ... + 26750946.

It is an arithmetic number, because the mean of its divisors is an integer number (327088916).

Almost surely, 2^10406042528 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 10406042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775200976).

10406042528 is an abundant number, since it is smaller than the sum of its proper divisors (13144359424).

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

10406042528 is an frugal number, since it uses more digits than its factorization.

10406042528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 10406042528 in words is "ten billion, four hundred six million, forty-two thousand, five hundred twenty-eight".