40291200 has 144 divisors (see below), whose sum is σ = 143871000. Its totient is φ = 10736640.

The previous prime is 40291177. The next prime is 40291213. The reversal of 40291200 is 219204.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28101 + ... + 29499.

Almost surely, 2^40291200 is an apocalyptic number.

40291200 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 40291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71935500).

40291200 is an abundant number, since it is smaller than the sum of its proper divisors (103579800).

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

40291200 is a wasteful number, since it uses less digits than its factorization.

40291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40291200 is about 6347.5349546103. The cubic root of 40291200 is about 342.8230918564.

The spelling of 40291200 in words is "forty million, two hundred ninety-one thousand, two hundred".