41463794198400 has 2304 divisors, whose sum is σ = 171776094197760. Its totient is φ = 8743120404480.

The previous prime is 41463794198399. The next prime is 41463794198419. The reversal of 41463794198400 is 489149736414.

It is a happy number.

It is a super-3 number, since 3×41463794198400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 37120674642 + ... + 37120675758.

It is an arithmetic number, because the mean of its divisors is an integer number (74555596440).

Almost surely, 2^{41463794198400} is an apocalyptic number.

41463794198400 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 41463794198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85888047098880).

41463794198400 is an abundant number, since it is smaller than the sum of its proper divisors (130312299999360).

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

41463794198400 is a wasteful number, since it uses less digits than its factorization.

41463794198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 41463794198400 in words is "forty-one trillion, four hundred sixty-three billion, seven hundred ninety-four million, one hundred ninety-eight thousand, four hundred".