1305400400430 has 64 divisors (see below), whose sum is σ = 3594458972160. Its totient is φ = 297216221184.

The previous prime is 1305400400413. The next prime is 1305400400441. The reversal of 1305400400430 is 340040045031.

It is a super-3 number, since 3×1305400400430³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1305400400430.

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, 12039790 + ... + 12147729.

It is an arithmetic number, because the mean of its divisors is an integer number (56163421440).

Almost surely, 2^{1305400400430} is an apocalyptic number.

1305400400430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305400400430 is an abundant number, since it is smaller than the sum of its proper divisors (2289058571730).

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

1305400400430 is a wasteful number, since it uses less digits than its factorization.

1305400400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24187793.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 1305400400430 its reverse (340040045031), we get a palindrome (1645440445461).

The spelling of 1305400400430 in words is "one trillion, three hundred five billion, four hundred million, four hundred thousand, four hundred thirty".