828627410240 has 448 divisors, whose sum is σ = 2462823014400. Its totient is φ = 259216588800.

The previous prime is 828627410213. The next prime is 828627410311. The reversal of 828627410240 is 42014726828.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 828627410191 and 828627410200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137848835 + ... + 137854845.

It is an arithmetic number, because the mean of its divisors is an integer number (5497372800).

Almost surely, 2^828627410240 is an apocalyptic number.

828627410240 is a gapful number since it is divisible by the number (80) 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 828627410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231411507200).

828627410240 is an abundant number, since it is smaller than the sum of its proper divisors (1634195604160).

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

828627410240 is a wasteful number, since it uses less digits than its factorization.

828627410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 828627410240 in words is "eight hundred twenty-eight billion, six hundred twenty-seven million, four hundred ten thousand, two hundred forty".