40104288 has 192 divisors, whose sum is σ = 141120000. Its totient is φ = 10824192.

The previous prime is 40104283. The next prime is 40104289. The reversal of 40104288 is 88240104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40104283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114738 + ... + 115086.

It is an arithmetic number, because the mean of its divisors is an integer number (735000).

Almost surely, 2^40104288 is an apocalyptic number.

40104288 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 40104288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

40104288 is an abundant number, since it is smaller than the sum of its proper divisors (101015712).

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

40104288 is a wasteful number, since it uses less digits than its factorization.

40104288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40104288 is about 6332.7946437572. The cubic root of 40104288 is about 342.2921480270.

The spelling of 40104288 in words is "forty million, one hundred four thousand, two hundred eighty-eight".