40961088 has 84 divisors (see below), whose sum is σ = 134193280. Its totient is φ = 11702016.

The previous prime is 40961077. The next prime is 40961099. The reversal of 40961088 is 88016904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40961077) and next prime (40961099).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048 + ... + 9111.

Almost surely, 2^40961088 is an apocalyptic number.

40961088 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 40961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67096640).

40961088 is an abundant number, since it is smaller than the sum of its proper divisors (93232192).

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

40961088 is a wasteful number, since it uses less digits than its factorization.

40961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40961088 is about 6400.0849994356. The cubic root of 40961088 is about 344.7126024939.

It can be divided in two parts, 4096 and 1088, that added together give a square (5184 = 72²).

The spelling of 40961088 in words is "forty million, nine hundred sixty-one thousand, eighty-eight".