1021397281632 has 1152 divisors, whose sum is σ = 3813372186624. Its totient is φ = 252184264704.

The previous prime is 1021397281631. The next prime is 1021397281693. The reversal of 1021397281632 is 2361827931201.

It is a happy number.

1021397281632 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 9 + 7 + 2 + 8 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021397281631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3327026823 + ... + 3327027129.

It is an arithmetic number, because the mean of its divisors is an integer number (3310218912).

Almost surely, 2^{1021397281632} is an apocalyptic number.

1021397281632 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 1021397281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906686093312).

1021397281632 is an abundant number, since it is smaller than the sum of its proper divisors (2791974904992).

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

1021397281632 is a wasteful number, since it uses less digits than its factorization.

1021397281632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1021397281632 in words is "one trillion, twenty-one billion, three hundred ninety-seven million, two hundred eighty-one thousand, six hundred thirty-two".