41532121440 has 336 divisors, whose sum is σ = 148583399328. Its totient is φ = 10964533248.

The previous prime is 41532121409. The next prime is 41532121459. The reversal of 41532121440 is 4412123514.

41532121440 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 212 + 1 + 440 = 666.

It is a super-2 number, since 2×41532121440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12012192 + ... + 12015648.

It is an arithmetic number, because the mean of its divisors is an integer number (442212498).

Almost surely, 2^41532121440 is an apocalyptic number.

41532121440 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 41532121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74291699664).

41532121440 is an abundant number, since it is smaller than the sum of its proper divisors (107051277888).

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

41532121440 is a wasteful number, since it uses less digits than its factorization.

41532121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41532121440 its reverse (4412123514), we get a palindrome (45944244954).

The spelling of 41532121440 in words is "forty-one billion, five hundred thirty-two million, one hundred twenty-one thousand, four hundred forty".