429481988040 has 512 divisors, whose sum is σ = 1592607744000. Its totient is φ = 90458726400.

The previous prime is 429481988029. The next prime is 429481988053. The reversal of 429481988040 is 40889184924.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275484781 + ... + 275486339.

It is an arithmetic number, because the mean of its divisors is an integer number (3110562000).

Almost surely, 2^429481988040 is an apocalyptic number.

429481988040 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 429481988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796303872000).

429481988040 is an abundant number, since it is smaller than the sum of its proper divisors (1163125755960).

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

429481988040 is a wasteful number, since it uses less digits than its factorization.

429481988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 429481988040 in words is "four hundred twenty-nine billion, four hundred eighty-one million, nine hundred eighty-eight thousand, forty".