40825369200 has 960 divisors, whose sum is σ = 170046259200. Its totient is φ = 8297856000.

The previous prime is 40825369171. The next prime is 40825369201. The reversal of 40825369200 is 296352804.

It is a happy number.

It is a super-3 number, since 3×40825369200³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40825369201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321459537 + ... + 321459663.

It is an arithmetic number, because the mean of its divisors is an integer number (177131520).

Almost surely, 2^40825369200 is an apocalyptic number.

40825369200 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 40825369200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85023129600).

40825369200 is an abundant number, since it is smaller than the sum of its proper divisors (129220890000).

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

40825369200 is a wasteful number, since it uses less digits than its factorization.

40825369200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 40825369200 in words is "forty billion, eight hundred twenty-five million, three hundred sixty-nine thousand, two hundred".