390868644096 has 810 divisors, whose sum is σ = 1398377192058. Its totient is φ = 108271779840.

The previous prime is 390868644091. The next prime is 390868644137. The reversal of 390868644096 is 690446868093.

390868644096 is a `hidden beast` number, since 3 + 90 + 86 + 8 + 64 + 409 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 254016000000 + 136852644096 = 504000^2 + 369936^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (390868644091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1390991476 + ... + 1390991756.

Almost surely, 2^390868644096 is an apocalyptic number.

390868644096 is a gapful number since it is divisible by the number (36) 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 390868644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699188596029).

390868644096 is an abundant number, since it is smaller than the sum of its proper divisors (1007508547962).

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

390868644096 is an equidigital number, since it uses as much as digits as its factorization.

390868644096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 390868644096 in words is "three hundred ninety billion, eight hundred sixty-eight million, six hundred forty-four thousand, ninety-six".