41598749629440 has 2112 divisors, whose sum is σ = 165197382045696. Its totient is φ = 9993666428928.

The previous prime is 41598749629379. The next prime is 41598749629441. The reversal of 41598749629440 is 4492694789514.

41598749629440 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 8 + 7 + 496 + 2 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41598749629441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48202490449 + ... + 48202491311.

It is an arithmetic number, because the mean of its divisors is an integer number (78218457408).

Almost surely, 2^{41598749629440} is an apocalyptic number.

41598749629440 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 41598749629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82598691022848).

41598749629440 is an abundant number, since it is smaller than the sum of its proper divisors (123598632416256).

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

41598749629440 is a wasteful number, since it uses less digits than its factorization.

41598749629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 41598749629440 in words is "forty-one trillion, five hundred ninety-eight billion, seven hundred forty-nine million, six hundred twenty-nine thousand, four hundred forty".