1429307229504 has 504 divisors, whose sum is σ = 4862764313568. Its totient is φ = 366383646720.

The previous prime is 1429307229443. The next prime is 1429307229521. The reversal of 1429307229504 is 4059227039241.

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 71 ways as a sum of consecutive naturals, for example, 645867502 + ... + 645869714.

It is an arithmetic number, because the mean of its divisors is an integer number (9648341892).

Almost surely, 2^{1429307229504} is an apocalyptic number.

1429307229504 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 1429307229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431382156784).

1429307229504 is an abundant number, since it is smaller than the sum of its proper divisors (3433457084064).

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

1429307229504 is a wasteful number, since it uses less digits than its factorization.

1429307229504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1429307229504 in words is "one trillion, four hundred twenty-nine billion, three hundred seven million, two hundred twenty-nine thousand, five hundred four".