4132468263000 has 384 divisors, whose sum is σ = 16361820633600. Its totient is φ = 858694368000.

The previous prime is 4132468262977. The next prime is 4132468263043. The reversal of 4132468263000 is 3628642314.

It is a self number, because there is not a number n which added to its sum of digits gives 4132468263000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339181 + ... + 2894819.

It is an arithmetic number, because the mean of its divisors is an integer number (42608907900).

Almost surely, 2^{4132468263000} is an apocalyptic number.

4132468263000 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 4132468263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180910316800).

4132468263000 is an abundant number, since it is smaller than the sum of its proper divisors (12229352370600).

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

4132468263000 is a wasteful number, since it uses less digits than its factorization.

4132468263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555688 (or 2555667 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 4132468263000 in words is "four trillion, one hundred thirty-two billion, four hundred sixty-eight million, two hundred sixty-three thousand".