40129500 has 96 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 10344000.

The previous prime is 40129489. The next prime is 40129511. The reversal of 40129500 is 592104.

40129500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40129489) and next prime (40129511).

It is a super-2 number, since 2×40129500² = 3220753540500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46069 + ... + 46931.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 2^40129500 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 40129500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

40129500 is an abundant number, since it is smaller than the sum of its proper divisors (80636964).

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

40129500 is a wasteful number, since it uses less digits than its factorization.

40129500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 40129500 is about 6334.7849213687. The cubic root of 40129500 is about 342.3638615708.

The spelling of 40129500 in words is "forty million, one hundred twenty-nine thousand, five hundred".