4153255907328 has 832 divisors, whose sum is σ = 13745750895360. Its totient is φ = 1244080373760.

The previous prime is 4153255907327. The next prime is 4153255907389. The reversal of 4153255907328 is 8237095523514.

4153255907328 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 25 + 590 + 7 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153255907327) 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, 11134734150 + ... + 11134734522.

Almost surely, 2^{4153255907328} is an apocalyptic number.

4153255907328 is a gapful number since it is divisible by the number (48) 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 4153255907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872875447680).

4153255907328 is an abundant number, since it is smaller than the sum of its proper divisors (9592494988032).

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

4153255907328 is an equidigital number, since it uses as much as digits as its factorization.

4153255907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4153255907328 in words is "four trillion, one hundred fifty-three billion, two hundred fifty-five million, nine hundred seven thousand, three hundred twenty-eight".