4263488511040 has 336 divisors, whose sum is σ = 11798377012800. Its totient is φ = 1462290001920.

The previous prime is 4263488511013. The next prime is 4263488511091. The reversal of 4263488511040 is 401158843624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168458067 + ... + 168483373.

It is an arithmetic number, because the mean of its divisors is an integer number (35114217300).

Almost surely, 2^{4263488511040} is an apocalyptic number.

4263488511040 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 4263488511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899188506400).

4263488511040 is an abundant number, since it is smaller than the sum of its proper divisors (7534888501760).

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

4263488511040 is a wasteful number, since it uses less digits than its factorization.

4263488511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25594 (or 25573 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 4263488511040 in words is "four trillion, two hundred sixty-three billion, four hundred eighty-eight million, five hundred eleven thousand, forty".