4153379328000 has 2496 divisors, whose sum is σ = 18753547438080. Its totient is φ = 895795200000.

The previous prime is 4153379327963. The next prime is 4153379328067. The reversal of 4153379328000 is 8239733514.

4153379328000 is a `hidden beast` number, since 4 + 1 + 533 + 7 + 9 + 32 + 80 + 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 191 ways as a sum of consecutive naturals, for example, 16547327875 + ... + 16547328125.

It is an arithmetic number, because the mean of its divisors is an integer number (7513440480).

Almost surely, 2^{4153379328000} is an apocalyptic number.

4153379328000 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 4153379328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376773719040).

4153379328000 is an abundant number, since it is smaller than the sum of its proper divisors (14600168110080).

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

4153379328000 is an equidigital number, since it uses as much as digits as its factorization.

4153379328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4153379328000 in words is "four trillion, one hundred fifty-three billion, three hundred seventy-nine million, three hundred twenty-eight thousand".