4320029120400 has 540 divisors, whose sum is σ = 17810409382272. Its totient is φ = 966424112640.

The previous prime is 4320029120383. The next prime is 4320029120413. The reversal of 4320029120400 is 40219200234.

4320029120400 is a `hidden beast` number, since 43 + 200 + 2 + 9 + 12 + 0 + 400 = 666.

It is a super-2 number, since 2×4320029120400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8030269 + ... + 8551331.

Almost surely, 2^{4320029120400} is an apocalyptic number.

4320029120400 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 4320029120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905204691136).

4320029120400 is an abundant number, since it is smaller than the sum of its proper divisors (13490380261872).

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

4320029120400 is a wasteful number, since it uses less digits than its factorization.

4320029120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521148 (or 521127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 4320029120400 in words is "four trillion, three hundred twenty billion, twenty-nine million, one hundred twenty thousand, four hundred".