41887036800 has 576 divisors, whose sum is σ = 171944753760. Its totient is φ = 9510912000.

The previous prime is 41887036787. The next prime is 41887036819. The reversal of 41887036800 is 863078814.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34876200 + ... + 34877400.

Almost surely, 2^41887036800 is an apocalyptic number.

41887036800 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 41887036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85972376880).

41887036800 is an abundant number, since it is smaller than the sum of its proper divisors (130057716960).

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

41887036800 is a wasteful number, since it uses less digits than its factorization.

41887036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41887036800 in words is "forty-one billion, eight hundred eighty-seven million, thirty-six thousand, eight hundred".