429503416640 has 112 divisors (see below), whose sum is σ = 1028418053904. Its totient is φ = 170852352000.

The previous prime is 429503416621. The next prime is 429503416663. The reversal of 429503416640 is 46614305924.

It can be written as a sum of positive squares in 8 ways, for example, as 103215697984 + 326287718656 = 321272^2 + 571216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 429503416591 and 429503416600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54356690 + ... + 54364590.

Almost surely, 2^429503416640 is an apocalyptic number.

429503416640 is a gapful number since it is divisible by the number (40) 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 429503416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514209026952).

429503416640 is an abundant number, since it is smaller than the sum of its proper divisors (598914637264).

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

429503416640 is a wasteful number, since it uses less digits than its factorization.

429503416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 429503416640 in words is "four hundred twenty-nine billion, five hundred three million, four hundred sixteen thousand, six hundred forty".