1021603430400 has 1620 divisors, whose sum is σ = 4235448788928. Its totient is φ = 216512593920.

The previous prime is 1021603430389. The next prime is 1021603430401. The reversal of 1021603430400 is 40343061201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021603430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21736243177 + ... + 21736243223.

Almost surely, 2^{1021603430400} is an apocalyptic number.

1021603430400 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 1021603430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117724394464).

1021603430400 is an abundant number, since it is smaller than the sum of its proper divisors (3213845358528).

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

1021603430400 is an equidigital number, since it uses as much as digits as its factorization.

1021603430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1021603430400 its reverse (40343061201), we get a palindrome (1061946491601).

The spelling of 1021603430400 in words is "one trillion, twenty-one billion, six hundred three million, four hundred thirty thousand, four hundred".