4200434412240 has 80 divisors (see below), whose sum is σ = 14205105475776. Its totient is φ = 1018287129600.

The previous prime is 4200434412211. The next prime is 4200434412257. The reversal of 4200434412240 is 422144340024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4200434412198 and 4200434412207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795534181 + ... + 795539460.

Almost surely, 2^{4200434412240} is an apocalyptic number.

4200434412240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200434412240 is an abundant number, since it is smaller than the sum of its proper divisors (10004671063536).

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

4200434412240 is a wasteful number, since it uses less digits than its factorization.

4200434412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591073668 (or 1591073662 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4200434412240 its reverse (422144340024), we get a palindrome (4622578752264).

The spelling of 4200434412240 in words is "four trillion, two hundred billion, four hundred thirty-four million, four hundred twelve thousand, two hundred forty".