40122880 has 80 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 13750272.

The previous prime is 40122877. The next prime is 40122923. The reversal of 40122880 is 8822104.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16801 + ... + 19039.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^40122880 is an apocalyptic number.

40122880 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 40122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

40122880 is an abundant number, since it is smaller than the sum of its proper divisors (69870080).

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

40122880 is an equidigital number, since it uses as much as digits as its factorization.

40122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 40122880 is about 6334.2623879975. The cubic root of 40122880 is about 342.3450344120.

Adding to 40122880 its reverse (8822104), we get a palindrome (48944984).

The spelling of 40122880 in words is "forty million, one hundred twenty-two thousand, eight hundred eighty".