1429259997312 has 576 divisors, whose sum is σ = 5013610031040. Its totient is φ = 397262776320.

The previous prime is 1429259997307. The next prime is 1429259997323. The reversal of 1429259997312 is 2137999529241.

1429259997312 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 2 + 599 + 9 + 7 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1429259997312.

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, 217506987 + ... + 217513557.

Almost surely, 2^{1429259997312} is an apocalyptic number.

1429259997312 is a gapful number since it is divisible by the number (12) 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 1429259997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506805015520).

1429259997312 is an abundant number, since it is smaller than the sum of its proper divisors (3584350033728).

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

1429259997312 is an frugal number, since it uses more digits than its factorization.

1429259997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6620 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 1429259997312 in words is "one trillion, four hundred twenty-nine billion, two hundred fifty-nine million, nine hundred ninety-seven thousand, three hundred twelve".