4380964800000 has 960 divisors, whose sum is σ = 15152601296448. Its totient is φ = 1123942400000.

The previous prime is 4380964799963. The next prime is 4380964800031. The reversal of 4380964800000 is 84690834.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 22238399902 + ... + 22238400098.

Almost surely, 2^{4380964800000} is an apocalyptic number.

4380964800000 is a gapful number since it is divisible by the number (40) 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 4380964800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576300648224).

4380964800000 is an abundant number, since it is smaller than the sum of its proper divisors (10771636496448).

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

4380964800000 is an equidigital number, since it uses as much as digits as its factorization.

4380964800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 4380964800000 in words is "four trillion, three hundred eighty billion, nine hundred sixty-four million, eight hundred thousand".