32440901552640 has 2880 divisors, whose sum is σ = 140228979770880. Its totient is φ = 7163495055360.

The previous prime is 32440901552621. The next prime is 32440901552791. The reversal of 32440901552640 is 4625510904423.

32440901552640 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 0 + 90 + 1 + 552 + 6 + 4 + 0 = 666.

32440901552640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 135735989641 + ... + 135735989879.

It is an arithmetic number, because the mean of its divisors is an integer number (48690617976).

Almost surely, 2^{32440901552640} is an apocalyptic number.

32440901552640 is a gapful number since it is divisible by the number (30) 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 32440901552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70114489885440).

32440901552640 is an abundant number, since it is smaller than the sum of its proper divisors (107788078218240).

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

32440901552640 is an equidigital number, since it uses as much as digits as its factorization.

32440901552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 32440901552640 in words is "thirty-two trillion, four hundred forty billion, nine hundred one million, five hundred fifty-two thousand, six hundred forty".