829224640440 has 448 divisors, whose sum is σ = 3200153952960. Its totient is φ = 189348710400.

The previous prime is 829224640427. The next prime is 829224640483. The reversal of 829224640440 is 44046422928.

829224640440 is a `hidden beast` number, since 82 + 92 + 2 + 4 + 6 + 40 + 440 = 666.

829224640440 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 2×829224640440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 388031052 + ... + 388033188.

Almost surely, 2^829224640440 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 829224640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600076976480).

829224640440 is an abundant number, since it is smaller than the sum of its proper divisors (2370929312520).

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

829224640440 is a wasteful number, since it uses less digits than its factorization.

829224640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 829224640440 in words is "eight hundred twenty-nine billion, two hundred twenty-four million, six hundred forty thousand, four hundred forty".