434314104251440 has 160 divisors (see below), whose sum is σ = 1155071010723840. Its totient is φ = 148773995136000.

The previous prime is 434314104251387. The next prime is 434314104251501. The reversal of 434314104251440 is 44152401413434.

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 = 434314104251393 and 434314104251402.

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, 6352280455 + ... + 6352348825.

It is an arithmetic number, because the mean of its divisors is an integer number (7219193817024).

Almost surely, 2^{434314104251440} is an apocalyptic number.

434314104251440 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 434314104251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577535505361920).

434314104251440 is an abundant number, since it is smaller than the sum of its proper divisors (720756906472400).

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

434314104251440 is a wasteful number, since it uses less digits than its factorization.

434314104251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78411 (or 78405 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 434314104251440 its reverse (44152401413434), we get a palindrome (478466505664874).

The spelling of 434314104251440 in words is "four hundred thirty-four trillion, three hundred fourteen billion, one hundred four million, two hundred fifty-one thousand, four hundred forty".