434200223040 has 112 divisors (see below), whose sum is σ = 1378987327872. Its totient is φ = 115752994816.

The previous prime is 434200223033. The next prime is 434200223057. The reversal of 434200223040 is 40322002434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 434200223040.

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, 3321802 + ... + 3450038.

It is an arithmetic number, because the mean of its divisors is an integer number (12312386856).

Almost surely, 2^434200223040 is an apocalyptic number.

434200223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434200223040 is an abundant number, since it is smaller than the sum of its proper divisors (944787104832).

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

434200223040 is a wasteful number, since it uses less digits than its factorization.

434200223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131784 (or 131774 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 434200223040 its reverse (40322002434), we get a palindrome (474522225474).

The spelling of 434200223040 in words is "four hundred thirty-four billion, two hundred million, two hundred twenty-three thousand, forty".