40011648 has 64 divisors (see below), whose sum is σ = 109976400. Its totient is φ = 12873728.

The previous prime is 40011637. The next prime is 40011667. The reversal of 40011648 is 84611004.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9340 + ... + 12932.

Almost surely, 2^40011648 is an apocalyptic number.

40011648 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 40011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54988200).

40011648 is an abundant number, since it is smaller than the sum of its proper divisors (69964752).

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

40011648 is a wasteful number, since it uses less digits than its factorization.

40011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 40011648 is about 6325.4761085629. The cubic root of 40011648 is about 342.0283824466.

The spelling of 40011648 in words is "forty million, eleven thousand, six hundred forty-eight".