40129408 has 48 divisors (see below), whose sum is σ = 87907680. Its totient is φ = 18233600.

The previous prime is 40129391. The next prime is 40129433. The reversal of 40129408 is 80492104.

It is a super-3 number, since 3×40129408³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14193 + ... + 16783.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^40129408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953840).

40129408 is an abundant number, since it is smaller than the sum of its proper divisors (47778272).

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

40129408 is a wasteful number, since it uses less digits than its factorization.

40129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 40129408 is about 6334.7776598709. Note that the first 3 decimals coincide. The cubic root of 40129408 is about 342.3635999387.

The spelling of 40129408 in words is "forty million, one hundred twenty-nine thousand, four hundred eight".