41402188800 has 1056 divisors, whose sum is σ = 178694912000. Its totient is φ = 9196830720.

The previous prime is 41402188753. The next prime is 41402188829. The reversal of 41402188800 is 888120414.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208051101 + ... + 208051299.

Almost surely, 2^41402188800 is an apocalyptic number.

41402188800 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 41402188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89347456000).

41402188800 is an abundant number, since it is smaller than the sum of its proper divisors (137292723200).

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

41402188800 is a wasteful number, since it uses less digits than its factorization.

41402188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 41402188800 in words is "forty-one billion, four hundred two million, one hundred eighty-eight thousand, eight hundred".