40825200 has 120 divisors (see below), whose sum is σ = 140890288. Its totient is φ = 10045440.

The previous prime is 40825199. The next prime is 40825201. The reversal of 40825200 is 252804.

It is an interprime number because it is at equal distance from previous prime (40825199) and next prime (40825201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40825201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14292 + ... + 16908.

Almost surely, 2^40825200 is an apocalyptic number.

40825200 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 40825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70445144).

40825200 is an abundant number, since it is smaller than the sum of its proper divisors (100065088).

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

40825200 is a wasteful number, since it uses less digits than its factorization.

40825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40825200 is about 6389.4600710858. The cubic root of 40825200 is about 344.3309866423.

The spelling of 40825200 in words is "forty million, eight hundred twenty-five thousand, two hundred".