4469378833920 has 640 divisors, whose sum is σ = 19183982146560. Its totient is φ = 857261998080.

The previous prime is 4469378833903. The next prime is 4469378833961. The reversal of 4469378833920 is 293388739644.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4469378833920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 7396996 + ... + 7978364.

It is an arithmetic number, because the mean of its divisors is an integer number (29974972104).

Almost surely, 2^{4469378833920} is an apocalyptic number.

4469378833920 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 4469378833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591991073280).

4469378833920 is an abundant number, since it is smaller than the sum of its proper divisors (14714603312640).

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

4469378833920 is a wasteful number, since it uses less digits than its factorization.

4469378833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581426 (or 581410 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 4469378833920 in words is "four trillion, four hundred sixty-nine billion, three hundred seventy-eight million, eight hundred thirty-three thousand, nine hundred twenty".