395626042560 has 448 divisors, whose sum is σ = 1448157957120. Its totient is φ = 89639239680.

The previous prime is 395626042523. The next prime is 395626042613. The reversal of 395626042560 is 65240626593.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 487824555 + ... + 487825365.

It is an arithmetic number, because the mean of its divisors is an integer number (3232495440).

Almost surely, 2^395626042560 is an apocalyptic number.

395626042560 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 395626042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724078978560).

395626042560 is an abundant number, since it is smaller than the sum of its proper divisors (1052531914560).

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

395626042560 is a wasteful number, since it uses less digits than its factorization.

395626042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 395626042560 in words is "three hundred ninety-five billion, six hundred twenty-six million, forty-two thousand, five hundred sixty".