1429166880 has 288 divisors, whose sum is σ = 5236358400. Its totient is φ = 353673216.

The previous prime is 1429166839. The next prime is 1429166891. The reversal of 1429166880 is 886619241.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933551 + ... + 1934289.

It is an arithmetic number, because the mean of its divisors is an integer number (18181800).

Almost surely, 2^1429166880 is an apocalyptic number.

1429166880 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 1429166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618179200).

1429166880 is an abundant number, since it is smaller than the sum of its proper divisors (3807191520).

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

1429166880 is a wasteful number, since it uses less digits than its factorization.

1429166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1429166880 is about 37804.3235622594. The cubic root of 1429166880 is about 1126.4043380864.

The spelling of 1429166880 in words is "one billion, four hundred twenty-nine million, one hundred sixty-six thousand, eight hundred eighty".