4432001495040 has 2496 divisors, whose sum is σ = 19474837724160. Its totient is φ = 945322721280.

The previous prime is 4432001495027. The next prime is 4432001495059. The reversal of 4432001495040 is 405941002344.

4432001495040 is a `hidden beast` number, since 4 + 4 + 3 + 2 + 0 + 0 + 149 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4432001494986 and 4432001495004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41420574667 + ... + 41420574773.

It is an arithmetic number, because the mean of its divisors is an integer number (7802418960).

Almost surely, 2^{4432001495040} is an apocalyptic number.

4432001495040 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 4432001495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737418862080).

4432001495040 is an abundant number, since it is smaller than the sum of its proper divisors (15042836229120).

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

4432001495040 is a wasteful number, since it uses less digits than its factorization.

4432001495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 4432001495040 its reverse (405941002344), we get a palindrome (4837942497384).

The spelling of 4432001495040 in words is "four trillion, four hundred thirty-two billion, one million, four hundred ninety-five thousand, forty".