429141582055872 has 840 divisors, whose sum is σ = 1529303448359808. Its totient is φ = 118519452979200.

The previous prime is 429141582055783. The next prime is 429141582055999. The reversal of 429141582055872 is 278550285141924.

It is a happy number.

429141582055872 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 4 + 1 + 5 + 8 + 2 + 0 + 558 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6905901922 + ... + 6905964062.

Almost surely, 2^{429141582055872} is an apocalyptic number.

429141582055872 is a gapful number since it is divisible by the number (42) 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 429141582055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764651724179904).

429141582055872 is an abundant number, since it is smaller than the sum of its proper divisors (1100161866303936).

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

429141582055872 is a wasteful number, since it uses less digits than its factorization.

429141582055872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63087 (or 63061 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 429141582055872 in words is "four hundred twenty-nine trillion, one hundred forty-one billion, five hundred eighty-two million, fifty-five thousand, eight hundred seventy-two".