1046825821440 has 576 divisors, whose sum is σ = 4315118814720. Its totient is φ = 235348623360.

The previous prime is 1046825821439. The next prime is 1046825821507. The reversal of 1046825821440 is 441285286401.

1046825821440 is a `hidden beast` number, since 1 + 0 + 4 + 68 + 2 + 582 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 14721652 + ... + 14792588.

It is an arithmetic number, because the mean of its divisors is an integer number (7491525720).

Almost surely, 2^{1046825821440} is an apocalyptic number.

1046825821440 is a gapful number since it is divisible by the number (10) 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 1046825821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157559407360).

1046825821440 is an abundant number, since it is smaller than the sum of its proper divisors (3268292993280).

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

1046825821440 is an equidigital number, since it uses as much as digits as its factorization.

1046825821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71035 (or 71015 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1046825821440 in words is "one trillion, forty-six billion, eight hundred twenty-five million, eight hundred twenty-one thousand, four hundred forty".