4151034452000 has 192 divisors, whose sum is σ = 10300635203040. Its totient is φ = 1643963904000.

The previous prime is 4151034451961. The next prime is 4151034452027. The reversal of 4151034452000 is 2544301514.

4151034452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 352916788624 + 3798117663376 = 594068^2 + 1948876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165783482 + ... + 165808518.

Almost surely, 2^{4151034452000} is an apocalyptic number.

4151034452000 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 4151034452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150317601520).

4151034452000 is an abundant number, since it is smaller than the sum of its proper divisors (6149600751040).

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

4151034452000 is a wasteful number, since it uses less digits than its factorization.

4151034452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 25454 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 4151034452000 its reverse (2544301514), we get a palindrome (4153578753514).

The spelling of 4151034452000 in words is "four trillion, one hundred fifty-one billion, thirty-four million, four hundred fifty-two thousand".