1434734311680 has 180 divisors, whose sum is σ = 5133742108572. Its totient is φ = 382595788800.

The previous prime is 1434734311657. The next prime is 1434734311687. The reversal of 1434734311680 is 861134374341.

1434734311680 is a `hidden beast` number, since 14 + 3 + 47 + 3 + 431 + 168 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 677500194816 + 757234116864 = 823104^2 + 870192^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1434734311680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1434734311687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6815371 + ... + 7022730.

Almost surely, 2^{1434734311680} is an apocalyptic number.

1434734311680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434734311680 is an abundant number, since it is smaller than the sum of its proper divisors (3699007796892).

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

1434734311680 is an equidigital number, since it uses as much as digits as its factorization.

1434734311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838134 (or 13838111 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1434734311680 in words is "one trillion, four hundred thirty-four billion, seven hundred thirty-four million, three hundred eleven thousand, six hundred eighty".