1003334520400 has 120 divisors (see below), whose sum is σ = 2478891066264. Its totient is φ = 389977344000.

The previous prime is 1003334520379. The next prime is 1003334520439. The reversal of 1003334520400 is 40254333001.

It can be written as a sum of positive squares in 12 ways, for example, as 70070325264 + 933264195136 = 264708^2 + 966056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11396550 + ... + 11484250.

Almost surely, 2^{1003334520400} is an apocalyptic number.

1003334520400 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 1003334520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239445533132).

1003334520400 is an abundant number, since it is smaller than the sum of its proper divisors (1475556545864).

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

1003334520400 is a wasteful number, since it uses less digits than its factorization.

1003334520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88529 (or 88518 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 1003334520400 its reverse (40254333001), we get a palindrome (1043588853401).

The spelling of 1003334520400 in words is "one trillion, three billion, three hundred thirty-four million, five hundred twenty thousand, four hundred".