1003400413220 has 24 divisors (see below), whose sum is σ = 2136005814264. Its totient is φ = 395862080256.

The previous prime is 1003400413207. The next prime is 1003400413231. The reversal of 1003400413220 is 223140043001.

It can be written as a sum of positive squares in 4 ways, for example, as 445761863716 + 557638549504 = 667654^2 + 746752^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1003400413192 and 1003400413201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343628819 + ... + 343631738.

It is an arithmetic number, because the mean of its divisors is an integer number (89000242261).

Almost surely, 2^{1003400413220} is an apocalyptic number.

1003400413220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003400413220 is an abundant number, since it is smaller than the sum of its proper divisors (1132605401044).

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

1003400413220 is a wasteful number, since it uses less digits than its factorization.

1003400413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687260639 (or 687260637 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1003400413220 its reverse (223140043001), we get a palindrome (1226540456221).

The spelling of 1003400413220 in words is "one trillion, three billion, four hundred million, four hundred thirteen thousand, two hundred twenty".