40012560 has 240 divisors, whose sum is σ = 162953856. Its totient is φ = 8589312.

The previous prime is 40012519. The next prime is 40012573. The reversal of 40012560 is 6521004.

It is a happy number.

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 (18).

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, 85447 + ... + 85913.

Almost surely, 2^40012560 is an apocalyptic number.

40012560 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 40012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81476928).

40012560 is an abundant number, since it is smaller than the sum of its proper divisors (122941296).

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

40012560 is a wasteful number, since it uses less digits than its factorization.

40012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40012560 is about 6325.5481975873. The cubic root of 40012560 is about 342.0309810859.

Adding to 40012560 its reverse (6521004), we get a palindrome (46533564).

It can be divided in two parts, 4001 and 2560, that added together give a 8-th power (6561 = 3⁸).

The spelling of 40012560 in words is "forty million, twelve thousand, five hundred sixty".