4172755270320 has 960 divisors, whose sum is σ = 18218177961984. Its totient is φ = 832173834240.

The previous prime is 4172755270309. The next prime is 4172755270433. The reversal of 4172755270320 is 230725572714.

4172755270320 is a `hidden beast` number, since 4 + 1 + 7 + 2 + 7 + 55 + 270 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 87314272 + ... + 87362048.

Almost surely, 2^{4172755270320} is an apocalyptic number.

4172755270320 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 4172755270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9109088980992).

4172755270320 is an abundant number, since it is smaller than the sum of its proper divisors (14045422691664).

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

4172755270320 is a wasteful number, since it uses less digits than its factorization.

4172755270320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47890 (or 47881 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 4172755270320 in words is "four trillion, one hundred seventy-two billion, seven hundred fifty-five million, two hundred seventy thousand, three hundred twenty".