41434387488 has 240 divisors, whose sum is σ = 133712847576. Its totient is φ = 12507955200.

The previous prime is 41434387483. The next prime is 41434387493. The reversal of 41434387488 is 88478343414.

41434387488 is a `hidden beast` number, since 4 + 1 + 43 + 43 + 87 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (41434387483) and next prime (41434387493).

It can be written as a sum of positive squares in 4 ways, for example, as 39589856784 + 1844530704 = 198972^2 + 42948^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41434387483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1774288 + ... + 1797488.

Almost surely, 2^41434387488 is an apocalyptic number.

41434387488 is a gapful number since it is divisible by the number (48) 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 41434387488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66856423788).

41434387488 is an abundant number, since it is smaller than the sum of its proper divisors (92278460088).

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

41434387488 is a wasteful number, since it uses less digits than its factorization.

41434387488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23289 (or 23272 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 41434387488 in words is "forty-one billion, four hundred thirty-four million, three hundred eighty-seven thousand, four hundred eighty-eight".