960424153920 has 3360 divisors, whose sum is σ = 4748311535616. Its totient is φ = 178711142400.

The previous prime is 960424153879. The next prime is 960424153937. The reversal of 960424153920 is 29351424069.

960424153920 is a `hidden beast` number, since 9 + 604 + 2 + 4 + 1 + 5 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 22335445419 + ... + 22335445461.

Almost surely, 2^960424153920 is an apocalyptic number.

960424153920 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 960424153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374155767808).

960424153920 is an abundant number, since it is smaller than the sum of its proper divisors (3787887381696).

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

960424153920 is a wasteful number, since it uses less digits than its factorization.

960424153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 960424153920 its reverse (29351424069), we get a palindrome (989775577989).

The spelling of 960424153920 in words is "nine hundred sixty billion, four hundred twenty-four million, one hundred fifty-three thousand, nine hundred twenty".