1429413840 has 120 divisors (see below), whose sum is σ = 4843205640. Its totient is φ = 377782272.

The previous prime is 1429413809. The next prime is 1429413841. The reversal of 1429413840 is 483149241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 1281353616 = 12168^2 + 35796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1429413840³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1429413795 and 1429413804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429413841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72576 + ... + 90144.

It is an arithmetic number, because the mean of its divisors is an integer number (40360047).

Almost surely, 2^1429413840 is an apocalyptic number.

1429413840 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 1429413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421602820).

1429413840 is an abundant number, since it is smaller than the sum of its proper divisors (3413791800).

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

1429413840 is a wasteful number, since it uses less digits than its factorization.

1429413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17701 (or 17692 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1429413840 is about 37807.5897142359. The cubic root of 1429413840 is about 1126.4692152299.

The spelling of 1429413840 in words is "one billion, four hundred twenty-nine million, four hundred thirteen thousand, eight hundred forty".