434014031534440 has 64 divisors (see below), whose sum is σ = 1120154295605760. Its totient is φ = 148255715543040.

The previous prime is 434014031534429. The next prime is 434014031534441. The reversal of 434014031534440 is 44435130410434.

It is a super-2 number, since 2×434014031534440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 434014031534393 and 434014031534402.

It is not an unprimeable number, because it can be changed into a prime (434014031534441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859795177 + ... + 2859946936.

It is an arithmetic number, because the mean of its divisors is an integer number (17502410868840).

Almost surely, 2^{434014031534440} is an apocalyptic number.

434014031534440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434014031534440 is an abundant number, since it is smaller than the sum of its proper divisors (686140264071320).

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

434014031534440 is a wasteful number, since it uses less digits than its factorization.

434014031534440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719742402 (or 5719742398 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 434014031534440 its reverse (44435130410434), we get a palindrome (478449161944874).

The spelling of 434014031534440 in words is "four hundred thirty-four trillion, fourteen billion, thirty-one million, five hundred thirty-four thousand, four hundred forty".