40635468288 has 200 divisors, whose sum is σ = 128422881972. Its totient is φ = 12748161024.

The previous prime is 40635468239. The next prime is 40635468301. The reversal of 40635468288 is 88286453604.

40635468288 is a `hidden beast` number, since 4 + 0 + 6 + 354 + 6 + 8 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39090034944 + 1545433344 = 197712^2 + 39312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 676206 + ... + 733842.

Almost surely, 2^40635468288 is an apocalyptic number.

40635468288 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 40635468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64211440986).

40635468288 is an abundant number, since it is smaller than the sum of its proper divisors (87787413684).

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

40635468288 is an equidigital number, since it uses as much as digits as its factorization.

40635468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57684 (or 57659 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 40635468288 in words is "forty billion, six hundred thirty-five million, four hundred sixty-eight thousand, two hundred eighty-eight".