966825901440 has 640 divisors, whose sum is σ = 4153665542400. Its totient is φ = 209356296192.

The previous prime is 966825901429. The next prime is 966825901441. The reversal of 966825901440 is 44109528669.

966825901440 is a `hidden beast` number, since 9 + 6 + 6 + 8 + 2 + 590 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966825901441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6824607 + ... + 6964833.

It is an arithmetic number, because the mean of its divisors is an integer number (6490102410).

Almost surely, 2^966825901440 is an apocalyptic number.

966825901440 is a gapful number since it is divisible by the number (90) 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 966825901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076832771200).

966825901440 is an abundant number, since it is smaller than the sum of its proper divisors (3186839640960).

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

966825901440 is a wasteful number, since it uses less digits than its factorization.

966825901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140284 (or 140263 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 966825901440 in words is "nine hundred sixty-six billion, eight hundred twenty-five million, nine hundred one thousand, four hundred forty".