41400852480 has 672 divisors, whose sum is σ = 158435930016. Its totient is φ = 9937354752.

The previous prime is 41400852443. The next prime is 41400852491. The reversal of 41400852480 is 8425800414.

41400852480 is a `hidden beast` number, since 4 + 1 + 400 + 8 + 5 + 248 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253992879 + ... + 253993041.

It is an arithmetic number, because the mean of its divisors is an integer number (235767753).

Almost surely, 2^41400852480 is an apocalyptic number.

41400852480 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 41400852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79217965008).

41400852480 is an abundant number, since it is smaller than the sum of its proper divisors (117035077536).

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

41400852480 is a wasteful number, since it uses less digits than its factorization.

41400852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 41400852480 in words is "forty-one billion, four hundred million, eight hundred fifty-two thousand, four hundred eighty".