4380048691200 has 2340 divisors, whose sum is σ = 20350026251940. Its totient is φ = 923027374080.

The previous prime is 4380048691163. The next prime is 4380048691279. The reversal of 4380048691200 is 21968400834.

It is a happy number.

4380048691200 is a `hidden beast` number, since 4 + 3 + 80 + 0 + 486 + 91 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 380560674816 + 3999488016384 = 616896^2 + 1999872^2 .

It is a tau number, because it is divible by the number of its divisors (2340).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5283532386 + ... + 5283533214.

Almost surely, 2^{4380048691200} is an apocalyptic number.

4380048691200 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 4380048691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175013125970).

4380048691200 is an abundant number, since it is smaller than the sum of its proper divisors (15969977560740).

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

4380048691200 is a wasteful number, since it uses less digits than its factorization.

4380048691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4380048691200 in words is "four trillion, three hundred eighty billion, forty-eight million, six hundred ninety-one thousand, two hundred".