1032532254400 has 168 divisors, whose sum is σ = 2562751094960. Its totient is φ = 409433149440.

The previous prime is 1032532254389. The next prime is 1032532254419. The reversal of 1032532254400 is 44522352301.

It is a super-2 number, since 2×1032532254400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168353734 + ... + 168359866.

Almost surely, 2^{1032532254400} is an apocalyptic number.

1032532254400 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 1032532254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281375547480).

1032532254400 is an abundant number, since it is smaller than the sum of its proper divisors (1530218840560).

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

1032532254400 is a wasteful number, since it uses less digits than its factorization.

1032532254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 1032532254400 in words is "one trillion, thirty-two billion, five hundred thirty-two million, two hundred fifty-four thousand, four hundred".