40026160 has 80 divisors (see below), whose sum is σ = 103788000. Its totient is φ = 14266368.

The previous prime is 40026157. The next prime is 40026167. The reversal of 40026160 is 6162004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40026167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25066 + ... + 26614.

It is an arithmetic number, because the mean of its divisors is an integer number (1297350).

Almost surely, 2^40026160 is an apocalyptic number.

40026160 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 40026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51894000).

40026160 is an abundant number, since it is smaller than the sum of its proper divisors (63761840).

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

40026160 is a wasteful number, since it uses less digits than its factorization.

40026160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40026160 is about 6326.6231118978. The cubic root of 40026160 is about 342.0697280395.

Adding to 40026160 its reverse (6162004), we get a palindrome (46188164).

It can be divided in two parts, 40026 and 160, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 40026160 in words is "forty million, twenty-six thousand, one hundred sixty".