4952174008320 has 4320 divisors, whose sum is σ = 24341132415600. Its totient is φ = 956470394880.

The previous prime is 4952174008283. The next prime is 4952174008343. The reversal of 4952174008320 is 238004712594.

4952174008320 is a `hidden beast` number, since 4 + 9 + 5 + 217 + 400 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-3 number, since 3×4952174008320³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 93437245414 + ... + 93437245466.

Almost surely, 2^{4952174008320} is an apocalyptic number.

4952174008320 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 4952174008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170566207800).

4952174008320 is an abundant number, since it is smaller than the sum of its proper divisors (19388958407280).

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

4952174008320 is a wasteful number, since it uses less digits than its factorization.

4952174008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4952174008320 in words is "four trillion, nine hundred fifty-two billion, one hundred seventy-four million, eight thousand, three hundred twenty".