41251200 has 96 divisors (see below), whose sum is σ = 135902760. Its totient is φ = 10997760.

The previous prime is 41251183. The next prime is 41251219. The reversal of 41251200 is 215214.

41251200 = T₁₈₃ + T₁₈₄ + ... + T₆₃₂.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41251200.

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 11 ways as a sum of consecutive naturals, for example, 7452 + ... + 11748.

Almost surely, 2^41251200 is an apocalyptic number.

41251200 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 41251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67951380).

41251200 is an abundant number, since it is smaller than the sum of its proper divisors (94651560).

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

41251200 is a wasteful number, since it uses less digits than its factorization.

41251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 41251200 is about 6422.7097085265. The cubic root of 41251200 is about 345.5245119763.

Adding to 41251200 its reverse (215214), we get a palindrome (41466414).

The spelling of 41251200 in words is "forty-one million, two hundred fifty-one thousand, two hundred".