1021411141632 has 288 divisors, whose sum is σ = 3428623598400. Its totient is φ = 286883315712.

The previous prime is 1021411141589. The next prime is 1021411141651. The reversal of 1021411141632 is 2361411141201.

It is a happy number.

1021411141632 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 11 + 14 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1021411141596 and 1021411141605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7545328 + ... + 7679504.

It is an arithmetic number, because the mean of its divisors is an integer number (11904943050).

Almost surely, 2^{1021411141632} is an apocalyptic number.

1021411141632 is a gapful number since it is divisible by the number (12) 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 1021411141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714311799200).

1021411141632 is an abundant number, since it is smaller than the sum of its proper divisors (2407212456768).

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

1021411141632 is a wasteful number, since it uses less digits than its factorization.

1021411141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134271 (or 134248 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1021411141632 its reverse (2361411141201), we get a palindrome (3382822282833).

The spelling of 1021411141632 in words is "one trillion, twenty-one billion, four hundred eleven million, one hundred forty-one thousand, six hundred thirty-two".