40653840 has 80 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 10779648.

The previous prime is 40653829. The next prime is 40653841. The reversal of 40653840 is 4835604.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 40653798 and 40653807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40653841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55557 + ... + 56283.

Almost surely, 2^40653840 is an apocalyptic number.

40653840 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 40653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

40653840 is an abundant number, since it is smaller than the sum of its proper divisors (86088048).

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

40653840 is a wasteful number, since it uses less digits than its factorization.

40653840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 40653840 is about 6376.0363863454. The cubic root of 40653840 is about 343.8485451902.

The spelling of 40653840 in words is "forty million, six hundred fifty-three thousand, eight hundred forty".