1434134134440 has 384 divisors, whose sum is σ = 5439193344000. Its totient is φ = 327579033600.

The previous prime is 1434134134373. The next prime is 1434134134453. The reversal of 1434134134440 is 444314314341.

1434134134440 is a `hidden beast` number, since 1 + 43 + 41 + 3 + 4 + 134 + 440 = 666.

It is a super-2 number, since 2×1434134134440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1434134134395 and 1434134134404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240906504 + ... + 240912456.

It is an arithmetic number, because the mean of its divisors is an integer number (14164566000).

Almost surely, 2^{1434134134440} is an apocalyptic number.

1434134134440 is a gapful number since it is divisible by the number (10) 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 1434134134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719596672000).

1434134134440 is an abundant number, since it is smaller than the sum of its proper divisors (4005059209560).

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

1434134134440 is a wasteful number, since it uses less digits than its factorization.

1434134134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1434134134440 its reverse (444314314341), we get a palindrome (1878448448781).

The spelling of 1434134134440 in words is "one trillion, four hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred forty".