4304214469632 has 704 divisors, whose sum is σ = 14843573222400. Its totient is φ = 1075984465920.

The previous prime is 4304214469619. The next prime is 4304214469657. The reversal of 4304214469632 is 2369644124034.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2668452058 + ... + 2668453670.

Almost surely, 2^{4304214469632} is an apocalyptic number.

4304214469632 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 4304214469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421786611200).

4304214469632 is an abundant number, since it is smaller than the sum of its proper divisors (10539358752768).

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

4304214469632 is a wasteful number, since it uses less digits than its factorization.

4304214469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 4304214469632 in words is "four trillion, three hundred four billion, two hundred fourteen million, four hundred sixty-nine thousand, six hundred thirty-two".