1429085988 has 216 divisors, whose sum is σ = 4322223360. Its totient is φ = 396316800.

The previous prime is 1429085971. The next prime is 1429085989. The reversal of 1429085988 is 8895809241.

1429085988 is a `hidden beast` number, since 1 + 42 + 9 + 0 + 8 + 598 + 8 = 666.

It is a super-2 number, since 2×1429085988² = 4084573522195872288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1429085989) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2565406 + ... + 2565962.

Almost surely, 2^1429085988 is an apocalyptic number.

1429085988 is a gapful number since it is divisible by the number (18) 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 1429085988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161111680).

1429085988 is an abundant number, since it is smaller than the sum of its proper divisors (2893137372).

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

1429085988 is a wasteful number, since it uses less digits than its factorization.

1429085988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The square root of 1429085988 is about 37803.2536694925. The cubic root of 1429085988 is about 1126.3830858870.

The spelling of 1429085988 in words is "one billion, four hundred twenty-nine million, eighty-five thousand, nine hundred eighty-eight".