41969145600 has 540 divisors, whose sum is σ = 163384707640. Its totient is φ = 10600243200.

The previous prime is 41969145529. The next prime is 41969145601. The reversal of 41969145600 is 654196914.

It is a happy number.

41969145600 is a `hidden beast` number, since 4 + 19 + 69 + 14 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×41969145600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41969145601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9847470 + ... + 9851730.

Almost surely, 2^41969145600 is an apocalyptic number.

41969145600 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 41969145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81692353820).

41969145600 is an abundant number, since it is smaller than the sum of its proper divisors (121415562040).

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

41969145600 is a wasteful number, since it uses less digits than its factorization.

41969145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 41969145600 in words is "forty-one billion, nine hundred sixty-nine million, one hundred forty-five thousand, six hundred".