41349429918720 has 1056 divisors, whose sum is σ = 185244482981376. Its totient is φ = 8592069427200.

The previous prime is 41349429918701. The next prime is 41349429918733. The reversal of 41349429918720 is 2781992494314.

41349429918720 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 9 + 429 + 9 + 187 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 95584510 + ... + 96016130.

Almost surely, 2^{41349429918720} is an apocalyptic number.

41349429918720 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 41349429918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92622241490688).

41349429918720 is an abundant number, since it is smaller than the sum of its proper divisors (143895053062656).

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

41349429918720 is a wasteful number, since it uses less digits than its factorization.

41349429918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431679 (or 431649 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 41349429918720 in words is "forty-one trillion, three hundred forty-nine billion, four hundred twenty-nine million, nine hundred eighteen thousand, seven hundred twenty".