4119456000 has 576 divisors, whose sum is σ = 15427915776. Its totient is φ = 965632000.

The previous prime is 4119455981. The next prime is 4119456001. The reversal of 4119456000 is 6549114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4119456001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49631959 + ... + 49632041.

It is an arithmetic number, because the mean of its divisors is an integer number (26784576).

Almost surely, 2^4119456000 is an apocalyptic number.

4119456000 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 4119456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713957888).

4119456000 is an abundant number, since it is smaller than the sum of its proper divisors (11308459776).

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

4119456000 is a wasteful number, since it uses less digits than its factorization.

4119456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 4119456000 is about 64182.9884003542. The cubic root of 4119456000 is about 1603.0483551850.

The spelling of 4119456000 in words is "four billion, one hundred nineteen million, four hundred fifty-six thousand".