1434218704464 has 320 divisors, whose sum is σ = 4655946444800. Its totient is φ = 370378469376.

The previous prime is 1434218704427. The next prime is 1434218704519. The reversal of 1434218704464 is 4644078124341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44305917 + ... + 44338275.

It is an arithmetic number, because the mean of its divisors is an integer number (14549832640).

Almost surely, 2^{1434218704464} is an apocalyptic number.

1434218704464 is a gapful number since it is divisible by the number (14) 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 1434218704464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327973222400).

1434218704464 is an abundant number, since it is smaller than the sum of its proper divisors (3221727740336).

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

1434218704464 is a wasteful number, since it uses less digits than its factorization.

1434218704464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32602 (or 32596 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 1434218704464 in words is "one trillion, four hundred thirty-four billion, two hundred eighteen million, seven hundred four thousand, four hundred sixty-four".