4032945387744 has 576 divisors, whose sum is σ = 14350295715840. Its totient is φ = 966534266880.

The previous prime is 4032945387733. The next prime is 4032945387763. The reversal of 4032945387744 is 4477835492304.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55953009 + ... + 56025039.

It is an arithmetic number, because the mean of its divisors is an integer number (24913707840).

Almost surely, 2^{4032945387744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032945387744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175147857920).

4032945387744 is an abundant number, since it is smaller than the sum of its proper divisors (10317350328096).

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

4032945387744 is a wasteful number, since it uses less digits than its factorization.

4032945387744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72123 (or 72102 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 4032945387744 in words is "four trillion, thirty-two billion, nine hundred forty-five million, three hundred eighty-seven thousand, seven hundred forty-four".