41998478054400 has 1056 divisors, whose sum is σ = 177005432832000. Its totient is φ = 9559223009280.

The previous prime is 41998478054389. The next prime is 41998478054413. The reversal of 41998478054400 is 445087489914.

41998478054400 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 8 + 4 + 7 + 80 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1156359441 + ... + 1156395759.

Almost surely, 2^{41998478054400} is an apocalyptic number.

41998478054400 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 41998478054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88502716416000).

41998478054400 is an abundant number, since it is smaller than the sum of its proper divisors (135006954777600).

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

41998478054400 is a wasteful number, since it uses less digits than its factorization.

41998478054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36604 (or 36575 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 41998478054400 in words is "forty-one trillion, nine hundred ninety-eight billion, four hundred seventy-eight million, fifty-four thousand, four hundred".