41894150400 has 864 divisors, whose sum is σ = 163509534720. Its totient is φ = 10474168320.

The previous prime is 41894150357. The next prime is 41894150429. The reversal of 41894150400 is 405149814.

41894150400 is a `hidden beast` number, since 4 + 18 + 94 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329875137 + ... + 329875263.

Almost surely, 2^41894150400 is an apocalyptic number.

41894150400 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 41894150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81754767360).

41894150400 is an abundant number, since it is smaller than the sum of its proper divisors (121615384320).

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

41894150400 is a wasteful number, since it uses less digits than its factorization.

41894150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41894150400 in words is "forty-one billion, eight hundred ninety-four million, one hundred fifty thousand, four hundred".