40018560 has 128 divisors (see below), whose sum is σ = 134395200. Its totient is φ = 10100736.

The previous prime is 40018543. The next prime is 40018567. The reversal of 40018560 is 6581004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40018560.

It is not an unprimeable number, because it can be changed into a prime (40018567) 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, 35932 + ... + 37028.

Almost surely, 2^40018560 is an apocalyptic number.

40018560 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 40018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67197600).

40018560 is an abundant number, since it is smaller than the sum of its proper divisors (94376640).

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

40018560 is a wasteful number, since it uses less digits than its factorization.

40018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 40018560 is about 6326.0224470041. The cubic root of 40018560 is about 342.0480764123.

Adding to 40018560 its reverse (6581004), we get a palindrome (46599564).

It can be divided in two parts, 4001 and 8560, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 40018560 in words is "forty million, eighteen thousand, five hundred sixty".