41040518400 has 1296 divisors, whose sum is σ = 181165279680. Its totient is φ = 9057484800.

The previous prime is 41040518399. The next prime is 41040518411. The reversal of 41040518400 is 481504014.

It is a happy number.

41040518400 is a `hidden beast` number, since 4 + 104 + 0 + 518 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 313286335 + ... + 313286465.

Almost surely, 2^41040518400 is an apocalyptic number.

41040518400 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 41040518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90582639840).

41040518400 is an abundant number, since it is smaller than the sum of its proper divisors (140124761280).

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

41040518400 is a wasteful number, since it uses less digits than its factorization.

41040518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 41040518400 in words is "forty-one billion, forty million, five hundred eighteen thousand, four hundred".