4334893920000 has 2160 divisors, whose sum is σ = 19391684824512. Its totient is φ = 908328960000.

The previous prime is 4334893919929. The next prime is 4334893920011. The reversal of 4334893920000 is 293984334.

4334893920000 is a `hidden beast` number, since 4 + 334 + 89 + 39 + 200 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 7025759692 + ... + 7025760308.

Almost surely, 2^{4334893920000} is an apocalyptic number.

4334893920000 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 4334893920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695842412256).

4334893920000 is an abundant number, since it is smaller than the sum of its proper divisors (15056790904512).

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

4334893920000 is a wasteful number, since it uses less digits than its factorization.

4334893920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4334893920000 in words is "four trillion, three hundred thirty-four billion, eight hundred ninety-three million, nine hundred twenty thousand".