13405424212400 has 120 divisors (see below), whose sum is σ = 35482264690608. Its totient is φ = 4826435200000.

The previous prime is 13405424212373. The next prime is 13405424212469. The reversal of 13405424212400 is 421242450431.

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, 14638211 + ... + 15527010.

Almost surely, 2^{13405424212400} is an apocalyptic number.

13405424212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405424212400 is an abundant number, since it is smaller than the sum of its proper divisors (22076840478208).

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

13405424212400 is a wasteful number, since it uses less digits than its factorization.

13405424212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30165351 (or 30165340 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 13405424212400 its reverse (421242450431), we get a palindrome (13826666662831).

The spelling of 13405424212400 in words is "thirteen trillion, four hundred five billion, four hundred twenty-four million, two hundred twelve thousand, four hundred".