1003020230400 has 432 divisors, whose sum is σ = 3379750598784. Its totient is φ = 261898813440.

The previous prime is 1003020230383. The next prime is 1003020230411. The reversal of 1003020230400 is 40320203001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003020230400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222544947 + ... + 222549453.

Almost surely, 2^{1003020230400} is an apocalyptic number.

1003020230400 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 1003020230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689875299392).

1003020230400 is an abundant number, since it is smaller than the sum of its proper divisors (2376730368384).

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

1003020230400 is a wasteful number, since it uses less digits than its factorization.

1003020230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1003020230400 its reverse (40320203001), we get a palindrome (1043340433401).

The spelling of 1003020230400 in words is "one trillion, three billion, twenty million, two hundred thirty thousand, four hundred".