824040040428 has 432 divisors, whose sum is σ = 2447772687360. Its totient is φ = 233142624000.

The previous prime is 824040040409. The next prime is 824040040433.

824040040428 is a `hidden beast` number, since 8 + 240 + 4 + 0 + 0 + 404 + 2 + 8 = 666.

824040040428 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 824040040392 and 824040040401.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 654518863 + ... + 654520121.

It is an arithmetic number, because the mean of its divisors is an integer number (5666140480).

Almost surely, 2^824040040428 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 824040040428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223886343680).

824040040428 is an abundant number, since it is smaller than the sum of its proper divisors (1623732646932).

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

824040040428 is a wasteful number, since it uses less digits than its factorization.

824040040428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 8240400 and 40428, that added together give a palindrome (8280828).

The spelling of 824040040428 in words is "eight hundred twenty-four billion, forty million, forty thousand, four hundred twenty-eight".