40434170513412 has 192 divisors, whose sum is σ = 113252263084800. Its totient is φ = 11092213923840.

The previous prime is 40434170513377. The next prime is 40434170513419. The reversal of 40434170513412 is 21431507143404.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40434170513419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761890414 + ... + 761943482.

It is an arithmetic number, because the mean of its divisors is an integer number (589855536900).

Almost surely, 2^{40434170513412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40434170513412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56626131542400).

40434170513412 is an abundant number, since it is smaller than the sum of its proper divisors (72818092571388).

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

40434170513412 is a wasteful number, since it uses less digits than its factorization.

40434170513412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68246 (or 68244 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 40434170513412 its reverse (21431507143404), we get a palindrome (61865677656816).

The spelling of 40434170513412 in words is "forty trillion, four hundred thirty-four billion, one hundred seventy million, five hundred thirteen thousand, four hundred twelve".