1429313040 has 100 divisors (see below), whose sum is σ = 4964238444. Its totient is φ = 381148416.

The previous prime is 1429313003. The next prime is 1429313047. The reversal of 1429313040 is 403139241.

It can be written as a sum of positive squares in 2 ways, for example, as 237406464 + 1191906576 = 15408^2 + 34524^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1429312995 and 1429313013.

It is not an unprimeable number, because it can be changed into a prime (1429313047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103807 + ... + 116766.

Almost surely, 2^1429313040 is an apocalyptic number.

1429313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429313040 is an abundant number, since it is smaller than the sum of its proper divisors (3534925404).

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

1429313040 is a wasteful number, since it uses less digits than its factorization.

1429313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220598 (or 220583 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1429313040 is about 37806.2566250614. The cubic root of 1429313040 is about 1126.4427356658.

The spelling of 1429313040 in words is "one billion, four hundred twenty-nine million, three hundred thirteen thousand, forty".