4119438960 has 240 divisors, whose sum is σ = 17027285184. Its totient is φ = 869142528.

The previous prime is 4119438931. The next prime is 4119438977. The reversal of 4119438960 is 698349114.

4119438960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34084 + ... + 96956.

Almost surely, 2^4119438960 is an apocalyptic number.

4119438960 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 4119438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513642592).

4119438960 is an abundant number, since it is smaller than the sum of its proper divisors (12907846224).

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

4119438960 is a wasteful number, since it uses less digits than its factorization.

4119438960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62912 (or 62903 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4119438960 is about 64182.8556547619. The cubic root of 4119438960 is about 1603.0461448622.

It can be divided in two parts, 411943 and 8960, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 4119438960 in words is "four billion, one hundred nineteen million, four hundred thirty-eight thousand, nine hundred sixty".