4153624913280 has 128 divisors (see below), whose sum is σ = 13251070609920. Its totient is φ = 1106680322048.

The previous prime is 4153624913209. The next prime is 4153624913287. The reversal of 4153624913280 is 823194263514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153624913287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302889 + ... + 3163031.

It is an arithmetic number, because the mean of its divisors is an integer number (103523989140).

Almost surely, 2^{4153624913280} is an apocalyptic number.

4153624913280 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 4153624913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625535304960).

4153624913280 is an abundant number, since it is smaller than the sum of its proper divisors (9097445696640).

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

4153624913280 is a wasteful number, since it uses less digits than its factorization.

4153624913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861328 (or 1861316 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 4153624913280 in words is "four trillion, one hundred fifty-three billion, six hundred twenty-four million, nine hundred thirteen thousand, two hundred eighty".