41625435600 has 480 divisors, whose sum is σ = 178238592000. Its totient is φ = 9013317120.

The previous prime is 41625435587. The next prime is 41625435617. The reversal of 41625435600 is 653452614.

41625435600 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 5 + 43 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1421911 + ... + 1450889.

It is an arithmetic number, because the mean of its divisors is an integer number (371330400).

Almost surely, 2^41625435600 is an apocalyptic number.

41625435600 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 41625435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89119296000).

41625435600 is an abundant number, since it is smaller than the sum of its proper divisors (136613156400).

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

41625435600 is a wasteful number, since it uses less digits than its factorization.

41625435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032 (or 29015 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 41625435600 in words is "forty-one billion, six hundred twenty-five million, four hundred thirty-five thousand, six hundred".