41388969600 has 1152 divisors, whose sum is σ = 172592078400. Its totient is φ = 9671270400.

The previous prime is 41388969593. The next prime is 41388969613. The reversal of 41388969600 is 696988314.

41388969600 is a `hidden beast` number, since 413 + 88 + 96 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386812747 + ... + 386812853.

Almost surely, 2^41388969600 is an apocalyptic number.

41388969600 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 41388969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86296039200).

41388969600 is an abundant number, since it is smaller than the sum of its proper divisors (131203108800).

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

41388969600 is a wasteful number, since it uses less digits than its factorization.

41388969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 41388969600 in words is "forty-one billion, three hundred eighty-eight million, nine hundred sixty-nine thousand, six hundred".