1429716640 has 72 divisors (see below), whose sum is σ = 3712734900. Its totient is φ = 519889920.

The previous prime is 1429716619. The next prime is 1429716649. The reversal of 1429716640 is 466179241.

It can be written as a sum of positive squares in 2 ways, for example, as 1395470736 + 34245904 = 37356^2 + 5852^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1429716593 and 1429716602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429716649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17565 + ... + 56284.

Almost surely, 2^1429716640 is an apocalyptic number.

1429716640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429716640 is an abundant number, since it is smaller than the sum of its proper divisors (2283018260).

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

1429716640 is a wasteful number, since it uses less digits than its factorization.

1429716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73886 (or 73867 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1429716640 is about 37811.5939891457. The cubic root of 1429716640 is about 1126.5487515140.

The spelling of 1429716640 in words is "one billion, four hundred twenty-nine million, seven hundred sixteen thousand, six hundred forty".