41431612101624 has 128 divisors (see below), whose sum is σ = 116046271123200. Its totient is φ = 13695667539840.

The previous prime is 41431612101619. The next prime is 41431612101641. The reversal of 41431612101624 is 42610121613414.

41431612101624 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 1 + 6 + 1 + 21 + 0 + 1 + 624 = 666.

41431612101624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41431612101624² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40610227 + ... + 41617949.

It is an arithmetic number, because the mean of its divisors is an integer number (906611493150).

Almost surely, 2^{41431612101624} 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 41431612101624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58023135561600).

41431612101624 is an abundant number, since it is smaller than the sum of its proper divisors (74614659021576).

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

41431612101624 is a wasteful number, since it uses less digits than its factorization.

41431612101624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009322 (or 1009312 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41431612101624 in words is "forty-one trillion, four hundred thirty-one billion, six hundred twelve million, one hundred one thousand, six hundred twenty-four".