4159240269930 has 192 divisors, whose sum is σ = 10944979718400. Its totient is φ = 1095792952320.

The previous prime is 4159240269889. The next prime is 4159240269979. The reversal of 4159240269930 is 399620429514.

4159240269930 is a `hidden beast` number, since 4 + 1 + 5 + 92 + 402 + 69 + 93 + 0 = 666.

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, 3148553670 + ... + 3148554990.

It is an arithmetic number, because the mean of its divisors is an integer number (57005102700).

Almost surely, 2^{4159240269930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4159240269930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472489859200).

4159240269930 is an abundant number, since it is smaller than the sum of its proper divisors (6785739448470).

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

4159240269930 is a wasteful number, since it uses less digits than its factorization.

4159240269930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 4159240269930 in words is "four trillion, one hundred fifty-nine billion, two hundred forty million, two hundred sixty-nine thousand, nine hundred thirty".