41534228736 has 1728 divisors, whose sum is σ = 179992350720. Its totient is φ = 9196830720.

The previous prime is 41534228693. The next prime is 41534228753. The reversal of 41534228736 is 63782243514.

41534228736 is a `hidden beast` number, since 4 + 1 + 534 + 2 + 2 + 87 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 41534228691 and 41534228700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1432214770 + ... + 1432214798.

It is an arithmetic number, because the mean of its divisors is an integer number (104162240).

Almost surely, 2^41534228736 is an apocalyptic number.

41534228736 is a gapful number since it is divisible by the number (46) 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 41534228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89996175360).

41534228736 is an abundant number, since it is smaller than the sum of its proper divisors (138458121984).

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

41534228736 is a wasteful number, since it uses less digits than its factorization.

41534228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 41534228736 in words is "forty-one billion, five hundred thirty-four million, two hundred twenty-eight thousand, seven hundred thirty-six".