1008452384640 has 480 divisors, whose sum is σ = 3729994056360. Its totient is φ = 259636285440.

The previous prime is 1008452384633. The next prime is 1008452384747. The reversal of 1008452384640 is 464832548001.

1008452384640 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 523 + 84 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1008452384640² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43585875 + ... + 43609005.

Almost surely, 2^{1008452384640} is an apocalyptic number.

1008452384640 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 1008452384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864997028180).

1008452384640 is an abundant number, since it is smaller than the sum of its proper divisors (2721541671720).

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

1008452384640 is an equidigital number, since it uses as much as digits as its factorization.

1008452384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23220 (or 23170 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1008452384640 in words is "one trillion, eight billion, four hundred fifty-two million, three hundred eighty-four thousand, six hundred forty".