532446961213440 has 7168 divisors, whose sum is σ = 2542197030912000. Its totient is φ = 106188279644160.

The previous prime is 532446961213439. The next prime is 532446961213441. The reversal of 532446961213440 is 44312169644235.

532446961213440 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 4 + 6 + 9 + 612 + 13 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (532446961213439) and next prime (532446961213441).

It is a tau number, because it is divible by the number of its divisors (7168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (532446961213441) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12382487470059 + ... + 12382487470101.

It is an arithmetic number, because the mean of its divisors is an integer number (354659184000).

Almost surely, 2^{532446961213440} 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 532446961213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271098515456000).

532446961213440 is an abundant number, since it is smaller than the sum of its proper divisors (2009750069698560).

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

532446961213440 is an frugal number, since it uses more digits than its factorization.

532446961213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 532446961213440 in words is "five hundred thirty-two trillion, four hundred forty-six billion, nine hundred sixty-one million, two hundred thirteen thousand, four hundred forty".