40584401040 has 160 divisors (see below), whose sum is σ = 131878809216. Its totient is φ = 10312888320.

The previous prime is 40584401023. The next prime is 40584401041. The reversal of 40584401040 is 4010448504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40584400989 and 40584401007.

It is not an unprimeable number, because it can be changed into a prime (40584401041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375162 + ... + 471078.

Almost surely, 2^40584401040 is an apocalyptic number.

40584401040 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 40584401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65939404608).

40584401040 is an abundant number, since it is smaller than the sum of its proper divisors (91294408176).

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

40584401040 is a wasteful number, since it uses less digits than its factorization.

40584401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96017 (or 96011 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 40584401040 its reverse (4010448504), we get a palindrome (44594849544).

The spelling of 40584401040 in words is "forty billion, five hundred eighty-four million, four hundred one thousand, forty".