966490237440 has 1920 divisors, whose sum is σ = 4369910307840. Its totient is φ = 203166351360.

The previous prime is 966490237439. The next prime is 966490237451. The reversal of 966490237440 is 44732094669.

966490237440 is a `hidden beast` number, since 9 + 66 + 490 + 23 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3566384505 + ... + 3566384775.

It is an arithmetic number, because the mean of its divisors is an integer number (2275994952).

Almost surely, 2^966490237440 is an apocalyptic number.

966490237440 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 966490237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184955153920).

966490237440 is an abundant number, since it is smaller than the sum of its proper divisors (3403420070400).

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

966490237440 is an equidigital number, since it uses as much as digits as its factorization.

966490237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 966490237440 in words is "nine hundred sixty-six billion, four hundred ninety million, two hundred thirty-seven thousand, four hundred forty".