4381029192960 has 2592 divisors, whose sum is σ = 19753139145600. Its totient is φ = 925535600640.

The previous prime is 4381029192923. The next prime is 4381029192961. The reversal of 4381029192960 is 692919201834.

4381029192960 is a `hidden beast` number, since 4 + 381 + 0 + 2 + 91 + 92 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4381029192897 and 4381029192906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381029192961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106854370540 + ... + 106854370580.

Almost surely, 2^{4381029192960} is an apocalyptic number.

4381029192960 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 4381029192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876569572800).

4381029192960 is an abundant number, since it is smaller than the sum of its proper divisors (15372109952640).

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

4381029192960 is an frugal number, since it uses more digits than its factorization.

4381029192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 4381029192960 in words is "four trillion, three hundred eighty-one billion, twenty-nine million, one hundred ninety-two thousand, nine hundred sixty".