1429122816 has 432 divisors, whose sum is σ = 4958972928. Its totient is φ = 390758400.

The previous prime is 1429122809. The next prime is 1429122841. The reversal of 1429122816 is 6182219241.

1429122816 is a `hidden beast` number, since 1 + 429 + 1 + 228 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13356235 + ... + 13356341.

It is an arithmetic number, because the mean of its divisors is an integer number (11479104).

Almost surely, 2^1429122816 is an apocalyptic number.

1429122816 is a gapful number since it is divisible by the number (16) 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 1429122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479486464).

1429122816 is an abundant number, since it is smaller than the sum of its proper divisors (3529850112).

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

1429122816 is a wasteful number, since it uses less digits than its factorization.

1429122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1429122816 is about 37803.7407672839. The cubic root of 1429122816 is about 1126.3927615539.

The spelling of 1429122816 in words is "one billion, four hundred twenty-nine million, one hundred twenty-two thousand, eight hundred sixteen".