40131648 has 126 divisors (see below), whose sum is σ = 122032014. Its totient is φ = 12607488.

The previous prime is 40131647. The next prime is 40131673. The reversal of 40131648 is 84613104.

40131648 is a `hidden beast` number, since 4 + 0 + 13 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 10188864 = 5472^2 + 3192^2 .

It is a super-2 number, since 2×40131648² = 3221098342391808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131647) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207840 + ... + 208032.

Almost surely, 2^40131648 is an apocalyptic number.

40131648 is a gapful number since it is divisible by the number (48) 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 40131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61016007).

40131648 is an abundant number, since it is smaller than the sum of its proper divisors (81900366).

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

40131648 is a wasteful number, since it uses less digits than its factorization.

40131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40131648 is about 6334.9544591891. The cubic root of 40131648 is about 342.3699699986.

The spelling of 40131648 in words is "forty million, one hundred thirty-one thousand, six hundred forty-eight".