40051200 has 240 divisors, whose sum is σ = 152222400. Its totient is φ = 9093120.

The previous prime is 40051181. The next prime is 40051213. The reversal of 40051200 is 215004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268726 + ... + 268874.

It is an arithmetic number, because the mean of its divisors is an integer number (634260).

Almost surely, 2^40051200 is an apocalyptic number.

40051200 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 40051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111200).

40051200 is an abundant number, since it is smaller than the sum of its proper divisors (112171200).

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

40051200 is a wasteful number, since it uses less digits than its factorization.

40051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 40051200 is about 6328.6017413012. The cubic root of 40051200 is about 342.1410450687.

Adding to 40051200 its reverse (215004), we get a palindrome (40266204).

The spelling of 40051200 in words is "forty million, fifty-one thousand, two hundred".