4392130832640 has 864 divisors, whose sum is σ = 16248041636736. Its totient is φ = 1135151677440.

The previous prime is 4392130832633. The next prime is 4392130832659. The reversal of 4392130832640 is 462380312934.

4392130832640 is a `hidden beast` number, since 439 + 2 + 130 + 83 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 3809306304 + ... + 3809307456.

Almost surely, 2^{4392130832640} is an apocalyptic number.

4392130832640 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 4392130832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124020818368).

4392130832640 is an abundant number, since it is smaller than the sum of its proper divisors (11855910804096).

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

4392130832640 is a wasteful number, since it uses less digits than its factorization.

4392130832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4392130832640 in words is "four trillion, three hundred ninety-two billion, one hundred thirty million, eight hundred thirty-two thousand, six hundred forty".