4119507072 has 192 divisors, whose sum is σ = 12720052800. Its totient is φ = 1325528064.

The previous prime is 4119507053. The next prime is 4119507131. The reversal of 4119507072 is 2707059114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899733 + ... + 904299.

It is an arithmetic number, because the mean of its divisors is an integer number (66250275).

Almost surely, 2^4119507072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360026400).

4119507072 is an abundant number, since it is smaller than the sum of its proper divisors (8600545728).

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

4119507072 is an equidigital number, since it uses as much as digits as its factorization.

4119507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 4119507072 is about 64183.3862615553. The cubic root of 4119507072 is about 1603.0549798904.

The spelling of 4119507072 in words is "four billion, one hundred nineteen million, five hundred seven thousand, seventy-two".