3955473285120 has 2048 divisors, whose sum is σ = 17333955072000. Its totient is φ = 846203977728.

The previous prime is 3955473285083. The next prime is 3955473285191. The reversal of 3955473285120 is 215823745593.

3955473285120 is a `hidden beast` number, since 3 + 9 + 5 + 54 + 73 + 2 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47656304599 + ... + 47656304681.

It is an arithmetic number, because the mean of its divisors is an integer number (8463845250).

Almost surely, 2^{3955473285120} is an apocalyptic number.

3955473285120 is a gapful number since it is divisible by the number (30) 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 3955473285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666977536000).

3955473285120 is an abundant number, since it is smaller than the sum of its proper divisors (13378481786880).

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

3955473285120 is an frugal number, since it uses more digits than its factorization.

3955473285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3955473285120 in words is "three trillion, nine hundred fifty-five billion, four hundred seventy-three million, two hundred eighty-five thousand, one hundred twenty".