41814951948 has 192 divisors, whose sum is σ = 135412300800. Its totient is φ = 10840711680.

The previous prime is 41814951943. The next prime is 41814951973. The reversal of 41814951948 is 84915941814.

41814951948 is a `hidden beast` number, since 4 + 1 + 81 + 4 + 9 + 519 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41814951894 and 41814951903.

It is not an unprimeable number, because it can be changed into a prime (41814951943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4727386 + ... + 4736222.

It is an arithmetic number, because the mean of its divisors is an integer number (705272400).

Almost surely, 2^41814951948 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 41814951948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67706150400).

41814951948 is an abundant number, since it is smaller than the sum of its proper divisors (93597348852).

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

41814951948 is a wasteful number, since it uses less digits than its factorization.

41814951948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437 (or 9429 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 41814951948 in words is "forty-one billion, eight hundred fourteen million, nine hundred fifty-one thousand, nine hundred forty-eight".