434111040 has 336 divisors, whose sum is σ = 1660404096. Its totient is φ = 103219200.

The previous prime is 434111033. The next prime is 434111059. The reversal of 434111040 is 40111434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249184 + ... + 2249376.

Almost surely, 2^434111040 is an apocalyptic number.

434111040 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 434111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830202048).

434111040 is an abundant number, since it is smaller than the sum of its proper divisors (1226293056).

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

434111040 is a wasteful number, since it uses less digits than its factorization.

434111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 434111040 is about 20835.3315308396. The cubic root of 434111040 is about 757.1819924507.

Adding to 434111040 its reverse (40111434), we get a palindrome (474222474).

The spelling of 434111040 in words is "four hundred thirty-four million, one hundred eleven thousand, forty".