40129400 has 48 divisors (see below), whose sum is σ = 93762600. Its totient is φ = 15972480.

The previous prime is 40129391. The next prime is 40129433. The reversal of 40129400 is 492104.

It is a super-2 number, since 2×40129400² = 3220737488720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56246 + ... + 56954.

Almost surely, 2^40129400 is an apocalyptic number.

40129400 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 40129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46881300).

40129400 is an abundant number, since it is smaller than the sum of its proper divisors (53633200).

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

40129400 is a wasteful number, since it uses less digits than its factorization.

40129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 40129400 is about 6334.7770284360. Note that the first 3 decimals coincide. The cubic root of 40129400 is about 342.3635771881.

The spelling of 40129400 in words is "forty million, one hundred twenty-nine thousand, four hundred".