429747744131604 has 288 divisors, whose sum is σ = 1210953337776000. Its totient is φ = 127954870041600.

The previous prime is 429747744131527. The next prime is 429747744131609. The reversal of 429747744131604 is 406131447747924.

429747744131604 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 4 + 7 + 7 + 4 + 4 + 13 + 1 + 604 = 666.

It is a super-2 number, since 2×429747744131604² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429747744131609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166911874 + ... + 169467014.

It is an arithmetic number, because the mean of its divisors is an integer number (4204699089500).

Almost surely, 2^{429747744131604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429747744131604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605476668888000).

429747744131604 is an abundant number, since it is smaller than the sum of its proper divisors (781205593644396).

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

429747744131604 is a wasteful number, since it uses less digits than its factorization.

429747744131604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555399 (or 2555394 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 429747744131604 in words is "four hundred twenty-nine trillion, seven hundred forty-seven billion, seven hundred forty-four million, one hundred thirty-one thousand, six hundred four".