41400042432 has 112 divisors (see below), whose sum is σ = 125249879040. Its totient is φ = 11822533632.

The previous prime is 41400042407. The next prime is 41400042433. The reversal of 41400042432 is 23424000414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41400042433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066994 + ... + 3080462.

Almost surely, 2^41400042432 is an apocalyptic number.

41400042432 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 41400042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62624939520).

41400042432 is an abundant number, since it is smaller than the sum of its proper divisors (83849836608).

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

41400042432 is a wasteful number, since it uses less digits than its factorization.

41400042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15778 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41400042432 its reverse (23424000414), we get a palindrome (64824042846).

The spelling of 41400042432 in words is "forty-one billion, four hundred million, forty-two thousand, four hundred thirty-two".