1024197821400 has 384 divisors, whose sum is σ = 3624967987200. Its totient is φ = 237381580800.

The previous prime is 1024197821377. The next prime is 1024197821473. The reversal of 1024197821400 is 41287914201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8889361 + ... + 9003839.

It is an arithmetic number, because the mean of its divisors is an integer number (9440020800).

Almost surely, 2^{1024197821400} is an apocalyptic number.

1024197821400 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 1024197821400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812483993600).

1024197821400 is an abundant number, since it is smaller than the sum of its proper divisors (2600770165800).

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

1024197821400 is a wasteful number, since it uses less digits than its factorization.

1024197821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114579 (or 114570 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1024197821400 in words is "one trillion, twenty-four billion, one hundred ninety-seven million, eight hundred twenty-one thousand, four hundred".