434231001240 has 128 divisors (see below), whose sum is σ = 1340249448960. Its totient is φ = 112503942144.

The previous prime is 434231001233. The next prime is 434231001289. The reversal of 434231001240 is 42100132434.

It is a super-3 number, since 3×434231001240³ (a number of 36 digits) contains 333 as substring.

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 434231001240.

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, 216997 + ... + 956843.

It is an arithmetic number, because the mean of its divisors is an integer number (10470698820).

Almost surely, 2^434231001240 is an apocalyptic number.

434231001240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434231001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670124724480).

434231001240 is an abundant number, since it is smaller than the sum of its proper divisors (906018447720).

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

434231001240 is a wasteful number, since it uses less digits than its factorization.

434231001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740001 (or 739997 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434231001240 its reverse (42100132434), we get a palindrome (476331133674).

The spelling of 434231001240 in words is "four hundred thirty-four billion, two hundred thirty-one million, one thousand, two hundred forty".