41486026206240 has 2304 divisors, whose sum is σ = 199055618850816. Its totient is φ = 7893747302400.

The previous prime is 41486026206181. The next prime is 41486026206259. The reversal of 41486026206240 is 4260262068414.

41486026206240 is a `hidden beast` number, since 4 + 14 + 8 + 6 + 0 + 2 + 6 + 2 + 0 + 624 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1883064025 + ... + 1883086055.

It is an arithmetic number, because the mean of its divisors is an integer number (86395667904).

Almost surely, 2^{41486026206240} is an apocalyptic number.

41486026206240 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 41486026206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99527809425408).

41486026206240 is an abundant number, since it is smaller than the sum of its proper divisors (157569592644576).

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

41486026206240 is a wasteful number, since it uses less digits than its factorization.

41486026206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22133 (or 22113 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 41486026206240 in words is "forty-one trillion, four hundred eighty-six billion, twenty-six million, two hundred six thousand, two hundred forty".