4153124500000 has 672 divisors, whose sum is σ = 12400603770240. Its totient is φ = 1341187200000.

The previous prime is 4153124499977. The next prime is 4153124500003. The reversal of 4153124500000 is 54213514.

It is a happy number.

It is a super-2 number, since 2×4153124500000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153124500003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24006499914 + ... + 24006500086.

It is an arithmetic number, because the mean of its divisors is an integer number (18453279420).

Almost surely, 2^{4153124500000} is an apocalyptic number.

4153124500000 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 4153124500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200301885120).

4153124500000 is an abundant number, since it is smaller than the sum of its proper divisors (8247479270240).

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

4153124500000 is an frugal number, since it uses more digits than its factorization.

4153124500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 4153124500000 its reverse (54213514), we get a palindrome (4153178713514).

The spelling of 4153124500000 in words is "four trillion, one hundred fifty-three billion, one hundred twenty-four million, five hundred thousand".