4766119989120 has 3840 divisors, whose sum is σ = 22808401070400. Its totient is φ = 939080024064.

The previous prime is 4766119989107. The next prime is 4766119989133. The reversal of 4766119989120 is 219899116674.

4766119989120 is a `hidden beast` number, since 4 + 7 + 6 + 611 + 9 + 9 + 8 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4766119989107) and next prime (4766119989133).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30357452082 + ... + 30357452238.

Almost surely, 2^{4766119989120} is an apocalyptic number.

4766119989120 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 4766119989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404200535200).

4766119989120 is an abundant number, since it is smaller than the sum of its proper divisors (18042281081280).

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

4766119989120 is a wasteful number, since it uses less digits than its factorization.

4766119989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 4766119989120 in words is "four trillion, seven hundred sixty-six billion, one hundred nineteen million, nine hundred eighty-nine thousand, one hundred twenty".