40026960 has 240 divisors, whose sum is σ = 146240640. Its totient is φ = 10160640.

The previous prime is 40026887. The next prime is 40026997. The reversal of 40026960 is 6962004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 563725 + ... + 563795.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^40026960 is an apocalyptic number.

40026960 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 40026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

40026960 is an abundant number, since it is smaller than the sum of its proper divisors (106213680).

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

40026960 is a wasteful number, since it uses less digits than its factorization.

40026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40026960 is about 6326.6863364640. The cubic root of 40026960 is about 342.0720069988.

Adding to 40026960 its reverse (6962004), we get a palindrome (46988964).

The spelling of 40026960 in words is "forty million, twenty-six thousand, nine hundred sixty".