41431434240 has 352 divisors, whose sum is σ = 153953789184. Its totient is φ = 9313320960.

The previous prime is 41431434229. The next prime is 41431434259. The reversal of 41431434240 is 4243413414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41431434198 and 41431434207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6555562 + ... + 6561878.

Almost surely, 2^41431434240 is an apocalyptic number.

41431434240 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 41431434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76976894592).

41431434240 is an abundant number, since it is smaller than the sum of its proper divisors (112522354944).

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

41431434240 is a wasteful number, since it uses less digits than its factorization.

41431434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41431434240 its reverse (4243413414), we get a palindrome (45674847654).

The spelling of 41431434240 in words is "forty-one billion, four hundred thirty-one million, four hundred thirty-four thousand, two hundred forty".