41412431130000 has 400 divisors, whose sum is σ = 152895509775360. Its totient is φ = 9458708544000.

The previous prime is 41412431129987. The next prime is 41412431130001. The reversal of 41412431130000 is 3113421414.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41412431130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286997871 + ... + 287142129.

Almost surely, 2^{41412431130000} is an apocalyptic number.

41412431130000 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 41412431130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76447754887680).

41412431130000 is an abundant number, since it is smaller than the sum of its proper divisors (111483078645360).

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

41412431130000 is a wasteful number, since it uses less digits than its factorization.

41412431130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145664 (or 145643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41412431130000 its reverse (3113421414), we get a palindrome (41415544551414).

The spelling of 41412431130000 in words is "forty-one trillion, four hundred twelve billion, four hundred thirty-one million, one hundred thirty thousand".