429987489120 has 1152 divisors, whose sum is σ = 1869049728000. Its totient is φ = 93055205376.

The previous prime is 429987489109. The next prime is 429987489251. The reversal of 429987489120 is 21984789924.

429987489120 is a `hidden beast` number, since 4 + 29 + 9 + 8 + 7 + 489 + 120 = 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 191 ways as a sum of consecutive naturals, for example, 253380112 + ... + 253381808.

It is an arithmetic number, because the mean of its divisors is an integer number (1622439000).

Almost surely, 2^429987489120 is an apocalyptic number.

429987489120 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 429987489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934524864000).

429987489120 is an abundant number, since it is smaller than the sum of its proper divisors (1439062238880).

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

429987489120 is a wasteful number, since it uses less digits than its factorization.

429987489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 429987489120 in words is "four hundred twenty-nine billion, nine hundred eighty-seven million, four hundred eighty-nine thousand, one hundred twenty".