41648262480 has 400 divisors, whose sum is σ = 161660778048. Its totient is φ = 9849600000.

The previous prime is 41648262463. The next prime is 41648262497. The reversal of 41648262480 is 8426284614.

41648262480 is a `hidden beast` number, since 4 + 16 + 4 + 8 + 2 + 624 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41648262463) and next prime (41648262497).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2915355 + ... + 2929605.

Almost surely, 2^41648262480 is an apocalyptic number.

41648262480 is a gapful number since it is divisible by the number (40) 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 41648262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80830389024).

41648262480 is an abundant number, since it is smaller than the sum of its proper divisors (120012515568).

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

41648262480 is a wasteful number, since it uses less digits than its factorization.

41648262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14313 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

It can be divided in two parts, 41 and 648262480, that added together give a square (648262521 = 25461²).

The spelling of 41648262480 in words is "forty-one billion, six hundred forty-eight million, two hundred sixty-two thousand, four hundred eighty".