1429839664344 has 768 divisors, whose sum is σ = 5250322022400. Its totient is φ = 340728892416.

The previous prime is 1429839664343. The next prime is 1429839664387. The reversal of 1429839664344 is 4434669389241.

1429839664344 is a `hidden beast` number, since 1 + 429 + 83 + 96 + 6 + 4 + 3 + 44 = 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 not an unprimeable number, because it can be changed into a prime (1429839664343) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1611994669 + ... + 1611995555.

It is an arithmetic number, because the mean of its divisors is an integer number (6836356800).

Almost surely, 2^{1429839664344} is an apocalyptic number.

1429839664344 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 1429839664344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625161011200).

1429839664344 is an abundant number, since it is smaller than the sum of its proper divisors (3820482358056).

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

1429839664344 is a wasteful number, since it uses less digits than its factorization.

1429839664344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1517 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 1429839664344 in words is "one trillion, four hundred twenty-nine billion, eight hundred thirty-nine million, six hundred sixty-four thousand, three hundred forty-four".