40988160 has 160 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 10911744.

The previous prime is 40988141. The next prime is 40988161. The reversal of 40988160 is 6188904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40988161) 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, 68824 + ... + 69416.

It is an arithmetic number, because the mean of its divisors is an integer number (911493).

Almost surely, 2^40988160 is an apocalyptic number.

40988160 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 40988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

40988160 is an abundant number, since it is smaller than the sum of its proper divisors (104850720).

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

40988160 is an equidigital number, since it uses as much as digits as its factorization.

40988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40988160 is about 6402.1996220049. The cubic root of 40988160 is about 344.7885282474.

The spelling of 40988160 in words is "forty million, nine hundred eighty-eight thousand, one hundred sixty".