434012112240 has 160 divisors (see below), whose sum is σ = 1560593210880. Its totient is φ = 97722104832.

The previous prime is 434012112223. The next prime is 434012112257. The reversal of 434012112240 is 42211210434.

It is an interprime number because it is at equal distance from previous prime (434012112223) and next prime (434012112257).

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 434012112240.

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, 1815355 + ... + 2040474.

It is an arithmetic number, because the mean of its divisors is an integer number (9753707568).

Almost surely, 2^434012112240 is an apocalyptic number.

434012112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434012112240 is an abundant number, since it is smaller than the sum of its proper divisors (1126581098640).

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

434012112240 is a wasteful number, since it uses less digits than its factorization.

434012112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855919 (or 3855913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 434012112240 its reverse (42211210434), we get a palindrome (476223322674).

The spelling of 434012112240 in words is "four hundred thirty-four billion, twelve million, one hundred twelve thousand, two hundred forty".