429009239040 has 176 divisors, whose sum is σ = 1374818585760. Its totient is φ = 114180751360.

The previous prime is 429009239011. The next prime is 429009239051. The reversal of 429009239040 is 40932900924.

It is a junction number, because it is equal to n+sod(n) for n = 429009238983 and 429009239001.

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, 7975756 + ... + 8029364.

Almost surely, 2^429009239040 is an apocalyptic number.

429009239040 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 429009239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687409292880).

429009239040 is an abundant number, since it is smaller than the sum of its proper divisors (945809346720).

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

429009239040 is a wasteful number, since it uses less digits than its factorization.

429009239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54158 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 429009239040 in words is "four hundred twenty-nine billion, nine million, two hundred thirty-nine thousand, forty".