41472162144 has 432 divisors, whose sum is σ = 145594940400. Its totient is φ = 11133739008.

The previous prime is 41472162131. The next prime is 41472162157. The reversal of 41472162144 is 44126127414.

41472162144 is a `hidden beast` number, since 4 + 1 + 4 + 7 + 21 + 621 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41472162131) and next prime (41472162157).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41472162099 and 41472162108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36732972 + ... + 36734100.

It is an arithmetic number, because the mean of its divisors is an integer number (337025325).

Almost surely, 2^41472162144 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 41472162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72797470200).

41472162144 is an abundant number, since it is smaller than the sum of its proper divisors (104122778256).

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

41472162144 is a wasteful number, since it uses less digits than its factorization.

41472162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1297 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

Adding to 41472162144 its reverse (44126127414), we get a palindrome (85598289558).

The spelling of 41472162144 in words is "forty-one billion, four hundred seventy-two million, one hundred sixty-two thousand, one hundred forty-four".