1429449384384 has 840 divisors, whose sum is σ = 5123327311872. Its totient is φ = 392511329280.

The previous prime is 1429449384343. The next prime is 1429449384421. The reversal of 1429449384384 is 4834839449241.

1429449384384 is a `hidden beast` number, since 1 + 4 + 2 + 94 + 4 + 93 + 84 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1315040289 + ... + 1315041375.

Almost surely, 2^{1429449384384} is an apocalyptic number.

1429449384384 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 1429449384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561663655936).

1429449384384 is an abundant number, since it is smaller than the sum of its proper divisors (3693877927488).

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

1429449384384 is a wasteful number, since it uses less digits than its factorization.

1429449384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1297 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 1429449384384 in words is "one trillion, four hundred twenty-nine billion, four hundred forty-nine million, three hundred eighty-four thousand, three hundred eighty-four".