1632252061440 has 2592 divisors, whose sum is σ = 7851925238976. Its totient is φ = 307675791360.

The previous prime is 1632252061403. The next prime is 1632252061457. The reversal of 1632252061440 is 441602522361.

1632252061440 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 2 + 5 + 206 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1632252061395 and 1632252061404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5892606582 + ... + 5892606858.

Almost surely, 2^{1632252061440} is an apocalyptic number.

1632252061440 is a gapful number since it is divisible by the number (10) 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 1632252061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925962619488).

1632252061440 is an abundant number, since it is smaller than the sum of its proper divisors (6219673177536).

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

1632252061440 is a wasteful number, since it uses less digits than its factorization.

1632252061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1632252061440 in words is "one trillion, six hundred thirty-two billion, two hundred fifty-two million, sixty-one thousand, four hundred forty".