4020430433400 has 144 divisors (see below), whose sum is σ = 13628132598600. Its totient is φ = 1062094967040.

The previous prime is 4020430433381. The next prime is 4020430433413. The reversal of 4020430433400 is 43340340204.

4020430433400 is a `hidden beast` number, since 4 + 0 + 20 + 4 + 304 + 334 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10244655 + ... + 10629854.

Almost surely, 2^{4020430433400} is an apocalyptic number.

4020430433400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020430433400 is an abundant number, since it is smaller than the sum of its proper divisors (9607702165200).

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

4020430433400 is a wasteful number, since it uses less digits than its factorization.

4020430433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20874638 (or 20874626 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 4020430433400 its reverse (43340340204), we get a palindrome (4063770773604).

The spelling of 4020430433400 in words is "four trillion, twenty billion, four hundred thirty million, four hundred thirty-three thousand, four hundred".