395957172000 has 768 divisors, whose sum is σ = 1477909794816. Its totient is φ = 91975680000.

The previous prime is 395957171999. The next prime is 395957172011. The reversal of 395957172000 is 271759593.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 198275002 + ... + 198276998.

It is an arithmetic number, because the mean of its divisors is an integer number (1924361712).

Almost surely, 2^395957172000 is an apocalyptic number.

395957172000 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 395957172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738954897408).

395957172000 is an abundant number, since it is smaller than the sum of its proper divisors (1081952622816).

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

395957172000 is a wasteful number, since it uses less digits than its factorization.

395957172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The spelling of 395957172000 in words is "three hundred ninety-five billion, nine hundred fifty-seven million, one hundred seventy-two thousand".