1434842449920 has 2304 divisors, whose sum is σ = 6181733376000. Its totient is φ = 315319910400.

The previous prime is 1434842449919. The next prime is 1434842449979. The reversal of 1434842449920 is 299442484341.

1434842449920 is a `hidden beast` number, since 1 + 4 + 34 + 84 + 2 + 449 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16121825236 + ... + 16121825324.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044000).

Almost surely, 2^{1434842449920} is an apocalyptic number.

1434842449920 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 1434842449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090866688000).

1434842449920 is an abundant number, since it is smaller than the sum of its proper divisors (4746890926080).

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

1434842449920 is a wasteful number, since it uses less digits than its factorization.

1434842449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1434842449920 in words is "one trillion, four hundred thirty-four billion, eight hundred forty-two million, four hundred forty-nine thousand, nine hundred twenty".