395538150240 has 480 divisors, whose sum is σ = 1506873170880. Its totient is φ = 97409765376.

The previous prime is 395538150223. The next prime is 395538150253. The reversal of 395538150240 is 42051835593.

395538150240 is a `hidden beast` number, since 3 + 9 + 553 + 8 + 1 + 50 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8621442 + ... + 8667198.

It is an arithmetic number, because the mean of its divisors is an integer number (3139319106).

Almost surely, 2^395538150240 is an apocalyptic number.

395538150240 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 395538150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753436585440).

395538150240 is an abundant number, since it is smaller than the sum of its proper divisors (1111335020640).

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

395538150240 is a wasteful number, since it uses less digits than its factorization.

395538150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45836 (or 45819 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 395538150240 in words is "three hundred ninety-five billion, five hundred thirty-eight million, one hundred fifty thousand, two hundred forty".