41315398502400 has 3456 divisors, whose sum is σ = 175344867210240. Its totient is φ = 9277931520000.

The previous prime is 41315398502381. The next prime is 41315398502459. The reversal of 41315398502400 is 420589351314.

41315398502400 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 53 + 98 + 502 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 779535820774 + ... + 779535820826.

It is an arithmetic number, because the mean of its divisors is an integer number (50736362040).

Almost surely, 2^{41315398502400} is an apocalyptic number.

41315398502400 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 41315398502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87672433605120).

41315398502400 is an abundant number, since it is smaller than the sum of its proper divisors (134029468707840).

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

41315398502400 is a wasteful number, since it uses less digits than its factorization.

41315398502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 41315398502400 in words is "forty-one trillion, three hundred fifteen billion, three hundred ninety-eight million, five hundred two thousand, four hundred".