40113462114432 has 3072 divisors, whose sum is σ = 159092807616000. Its totient is φ = 9854543462400.

The previous prime is 40113462114377. The next prime is 40113462114437. The reversal of 40113462114432 is 23441126431104.

It is a happy number.

40113462114432 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 3 + 4 + 6 + 211 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40113462114437) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 292798993468 + ... + 292798993604.

Almost surely, 2^{40113462114432} is an apocalyptic number.

40113462114432 is a gapful number since it is divisible by the number (42) 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 40113462114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79546403808000).

40113462114432 is an abundant number, since it is smaller than the sum of its proper divisors (118979345501568).

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

40113462114432 is a wasteful number, since it uses less digits than its factorization.

40113462114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 40113462114432 its reverse (23441126431104), we get a palindrome (63554588545536).

The spelling of 40113462114432 in words is "forty trillion, one hundred thirteen billion, four hundred sixty-two million, one hundred fourteen thousand, four hundred thirty-two".