41002430112000 has 1296 divisors, whose sum is σ = 171874214536752. Its totient is φ = 9358471987200.

The previous prime is 41002430111969. The next prime is 41002430112053. The reversal of 41002430112000 is 21103420014.

41002430112000 is a `hidden beast` number, since 410 + 0 + 2 + 43 + 0 + 11 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1087732187136 + 39914697924864 = 1042944^2 + 6317808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12376222344 + ... + 12376225656.

Almost surely, 2^{41002430112000} is an apocalyptic number.

41002430112000 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 41002430112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85937107268376).

41002430112000 is an abundant number, since it is smaller than the sum of its proper divisors (130871784424752).

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

41002430112000 is a wasteful number, since it uses less digits than its factorization.

41002430112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41002430112000 its reverse (21103420014), we get a palindrome (41023533532014).

The spelling of 41002430112000 in words is "forty-one trillion, two billion, four hundred thirty million, one hundred twelve thousand".