1005403311420 has 96 divisors (see below), whose sum is σ = 3022707373056. Its totient is φ = 248782464000.

The previous prime is 1005403311359. The next prime is 1005403311461. The reversal of 1005403311420 is 241133045001.

It is a happy number.

1005403311420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005403311420² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6869056 + ... + 7013895.

It is an arithmetic number, because the mean of its divisors is an integer number (31486535136).

Almost surely, 2^{1005403311420} is an apocalyptic number.

1005403311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005403311420 is an abundant number, since it is smaller than the sum of its proper divisors (2017304061636).

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

1005403311420 is a wasteful number, since it uses less digits than its factorization.

1005403311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883051 (or 13883049 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1005403311420 its reverse (241133045001), we get a palindrome (1246536356421).

The spelling of 1005403311420 in words is "one trillion, five billion, four hundred three million, three hundred eleven thousand, four hundred twenty".