413127000000 has 1568 divisors, whose sum is σ = 1800201957120. Its totient is φ = 91584000000.

The previous prime is 413126999981. The next prime is 413127000047. The reversal of 413127000000 is 721314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3860999947 + ... + 3861000053.

Almost surely, 2^413127000000 is an apocalyptic number.

413127000000 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 413127000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900100978560).

413127000000 is an abundant number, since it is smaller than the sum of its proper divisors (1387074957120).

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

413127000000 is a wasteful number, since it uses less digits than its factorization.

413127000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 413127000000 its reverse (721314), we get a palindrome (413127721314).

The spelling of 413127000000 in words is "four hundred thirteen billion, one hundred twenty-seven million", and thus it is an aban number.