385222631040 has 192 divisors, whose sum is σ = 1432546937640. Its totient is φ = 94824013824.

The previous prime is 385222631033. The next prime is 385222631047. The reversal of 385222631040 is 40136222583.

385222631040 is a `hidden beast` number, since 3 + 8 + 522 + 26 + 3 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385222631033) and next prime (385222631047).

It can be written as a sum of positive squares in 4 ways, for example, as 342393500736 + 42829130304 = 585144^2 + 206952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 385222630986 and 385222631004.

It is not an unprimeable number, because it can be changed into a prime (385222631047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497387 + ... + 2647146.

Almost surely, 2^385222631040 is an apocalyptic number.

385222631040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385222631040 is an abundant number, since it is smaller than the sum of its proper divisors (1047324306600).

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

385222631040 is a wasteful number, since it uses less digits than its factorization.

385222631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144571 (or 5144556 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 385222631040 in words is "three hundred eighty-five billion, two hundred twenty-two million, six hundred thirty-one thousand, forty".