429401516544 has 2160 divisors, whose sum is σ = 1816616229120. Its totient is φ = 99632332800.

The previous prime is 429401516539. The next prime is 429401516569. The reversal of 429401516544 is 445615104924.

429401516544 is a `hidden beast` number, since 4 + 2 + 94 + 0 + 1 + 5 + 16 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 429401516544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13851661809 + ... + 13851661839.

It is an arithmetic number, because the mean of its divisors is an integer number (841026032).

Almost surely, 2^429401516544 is an apocalyptic number.

429401516544 is a gapful number since it is divisible by the number (44) 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 429401516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908308114560).

429401516544 is an abundant number, since it is smaller than the sum of its proper divisors (1387214712576).

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

429401516544 is a wasteful number, since it uses less digits than its factorization.

429401516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 429401516544 in words is "four hundred twenty-nine billion, four hundred one million, five hundred sixteen thousand, five hundred forty-four".