4380151800960 has 320 divisors, whose sum is σ = 16845570375480. Its totient is φ = 1078191046656.

The previous prime is 4380151800929. The next prime is 4380151800979. The reversal of 4380151800960 is 690081510834.

4380151800960 is a `hidden beast` number, since 4 + 380 + 1 + 5 + 180 + 0 + 96 + 0 = 666.

4380151800960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1310731896384 + 3069419904576 = 1144872^2 + 1751976^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2575837 + ... + 3923676.

Almost surely, 2^{4380151800960} is an apocalyptic number.

4380151800960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4380151800960 is an abundant number, since it is smaller than the sum of its proper divisors (12465418574520).

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

4380151800960 is a wasteful number, since it uses less digits than its factorization.

4380151800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499557 (or 6499536 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4380151800960 in words is "four trillion, three hundred eighty billion, one hundred fifty-one million, eight hundred thousand, nine hundred sixty".