40776240 has 160 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 10160128.

The previous prime is 40776227. The next prime is 40776259. The reversal of 40776240 is 4267704.

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 = 40776198 and 40776207.

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 31 ways as a sum of consecutive naturals, for example, 458116 + ... + 458204.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^40776240 is an apocalyptic number.

40776240 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 40776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

40776240 is an abundant number, since it is smaller than the sum of its proper divisors (94215120).

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

40776240 is a wasteful number, since it uses less digits than its factorization.

40776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 40776240 is about 6385.6276120676. The cubic root of 40776240 is about 344.1932842035.

The spelling of 40776240 in words is "forty million, seven hundred seventy-six thousand, two hundred forty".