4119009656832 has 1728 divisors, whose sum is σ = 15880754719440. Its totient is φ = 1059474898944.

The previous prime is 4119009656819. The next prime is 4119009656851. The reversal of 4119009656832 is 2386569009114.

4119009656832 is a `hidden beast` number, since 41 + 1 + 9 + 0 + 0 + 9 + 6 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 179087376373 + ... + 179087376395.

Almost surely, 2^{4119009656832} is an apocalyptic number.

4119009656832 is a gapful number since it is divisible by the number (42) 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 4119009656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940377359720).

4119009656832 is an abundant number, since it is smaller than the sum of its proper divisors (11761745062608).

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

4119009656832 is an frugal number, since it uses more digits than its factorization.

4119009656832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4119009656832 in words is "four trillion, one hundred nineteen billion, nine million, six hundred fifty-six thousand, eight hundred thirty-two".