4162532605040 has 160 divisors (see below), whose sum is σ = 10731329400960. Its totient is φ = 1493523136512.

The previous prime is 4162532605031. The next prime is 4162532605069. The reversal of 4162532605040 is 405062352614.

4162532605040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4162532604985 and 4162532605003.

It is a congruent number.

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, 8424356 + ... + 8904764.

It is an arithmetic number, because the mean of its divisors is an integer number (67070808756).

Almost surely, 2^{4162532605040} is an apocalyptic number.

4162532605040 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 4162532605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365664700480).

4162532605040 is an abundant number, since it is smaller than the sum of its proper divisors (6568796795920).

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

4162532605040 is a wasteful number, since it uses less digits than its factorization.

4162532605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480739 (or 480733 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 4162532605040 its reverse (405062352614), we get a palindrome (4567594957654).

The spelling of 4162532605040 in words is "four trillion, one hundred sixty-two billion, five hundred thirty-two million, six hundred five thousand, forty".