395741433260800 has 432 divisors, whose sum is σ = 1096938203961600. Its totient is φ = 140107032576000.

The previous prime is 395741433260743. The next prime is 395741433260837. The reversal of 395741433260800 is 8062334147593.

It is a happy number.

It is a super-2 number, since 2×395741433260800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941249026 + ... + 941669374.

It is a 1-persistent number, because it is pandigital, but 2⋅395741433260800 = 791482866521600 is not.

Almost surely, 2^{395741433260800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395741433260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548469101980800).

395741433260800 is an abundant number, since it is smaller than the sum of its proper divisors (701196770700800).

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

395741433260800 is a wasteful number, since it uses less digits than its factorization.

395741433260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420740 (or 420721 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 395741433260800 in words is "three hundred ninety-five trillion, seven hundred forty-one billion, four hundred thirty-three million, two hundred sixty thousand, eight hundred".