1434315585640 has 128 divisors (see below), whose sum is σ = 3722705568000. Its totient is φ = 487174238208.

The previous prime is 1434315585613. The next prime is 1434315585641. The reversal of 1434315585640 is 465855134341.

It is a super-2 number, since 2×1434315585640² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1434315585641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71781171 + ... + 71801149.

It is an arithmetic number, because the mean of its divisors is an integer number (29083637250).

Almost surely, 2^{1434315585640} is an apocalyptic number.

1434315585640 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 1434315585640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861352784000).

1434315585640 is an abundant number, since it is smaller than the sum of its proper divisors (2288389982360).

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

1434315585640 is a wasteful number, since it uses less digits than its factorization.

1434315585640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22379 (or 22375 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 1434315585640 in words is "one trillion, four hundred thirty-four billion, three hundred fifteen million, five hundred eighty-five thousand, six hundred forty".