40275648 has 126 divisors (see below), whose sum is σ = 134384796. Its totient is φ = 11499264.

The previous prime is 40275629. The next prime is 40275689. The reversal of 40275648 is 84657204.

40275648 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27511 + ... + 28937.

It is an arithmetic number, because the mean of its divisors is an integer number (1066546).

It is a vampire number, since it can be written as 4704 ⋅ 8562 (with its own digits).

Almost surely, 2^40275648 is an apocalyptic number.

40275648 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 40275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67192398).

40275648 is an abundant number, since it is smaller than the sum of its proper divisors (94109148).

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

40275648 is a wasteful number, since it uses less digits than its factorization.

40275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40275648 is about 6346.3097938881. The cubic root of 40275648 is about 342.7789774191.

The spelling of 40275648 in words is "forty million, two hundred seventy-five thousand, six hundred forty-eight".