4229795704320 has 640 divisors, whose sum is σ = 15575505960960. Its totient is φ = 1086898176000.

The previous prime is 4229795704319. The next prime is 4229795704327. The reversal of 4229795704320 is 234075979224.

It is a happy number.

4229795704320 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 7 + 9 + 570 + 43 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229795704327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516391425 + ... + 516399615.

It is an arithmetic number, because the mean of its divisors is an integer number (24336728064).

Almost surely, 2^{4229795704320} is an apocalyptic number.

4229795704320 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 4229795704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787752980480).

4229795704320 is an abundant number, since it is smaller than the sum of its proper divisors (11345710256640).

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

4229795704320 is a wasteful number, since it uses less digits than its factorization.

4229795704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4229795704320 in words is "four trillion, two hundred twenty-nine billion, seven hundred ninety-five million, seven hundred four thousand, three hundred twenty".