4385126880000 has 1080 divisors, whose sum is σ = 16815689706816. Its totient is φ = 1094860800000.

The previous prime is 4385126879999. The next prime is 4385126880133. The reversal of 4385126880000 is 886215834.

4385126880000 is a `hidden beast` number, since 4 + 385 + 1 + 268 + 8 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6634079670 + ... + 6634080330.

Almost surely, 2^{4385126880000} is an apocalyptic number.

4385126880000 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 4385126880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407844853408).

4385126880000 is an abundant number, since it is smaller than the sum of its proper divisors (12430562826816).

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

4385126880000 is a wasteful number, since it uses less digits than its factorization.

4385126880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 4385126880000 in words is "four trillion, three hundred eighty-five billion, one hundred twenty-six million, eight hundred eighty thousand".