429075029640 has 128 divisors (see below), whose sum is σ = 1306801152000. Its totient is φ = 112680868608.

The previous prime is 429075029639. The next prime is 429075029657. The reversal of 429075029640 is 46920570924.

It is a self number, because there is not a number n which added to its sum of digits gives 429075029640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48870771 + ... + 48879549.

It is an arithmetic number, because the mean of its divisors is an integer number (10209384000).

Almost surely, 2^429075029640 is an apocalyptic number.

429075029640 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 429075029640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653400576000).

429075029640 is an abundant number, since it is smaller than the sum of its proper divisors (877726122360).

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

429075029640 is a wasteful number, since it uses less digits than its factorization.

429075029640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14935 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 429075029640 in words is "four hundred twenty-nine billion, seventy-five million, twenty-nine thousand, six hundred forty".