390199796448 has 1152 divisors, whose sum is σ = 1441359360000. Its totient is φ = 91344153600.

The previous prime is 390199796423. The next prime is 390199796491. The reversal of 390199796448 is 844697991093.

It is a super-2 number, since 2×390199796448² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 6613555843 + ... + 6613555901.

It is an arithmetic number, because the mean of its divisors is an integer number (1251180000).

Almost surely, 2^390199796448 is an apocalyptic number.

390199796448 is a gapful number since it is divisible by the number (38) 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 390199796448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720679680000).

390199796448 is an abundant number, since it is smaller than the sum of its proper divisors (1051159563552).

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

390199796448 is a wasteful number, since it uses less digits than its factorization.

390199796448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 390199796448 in words is "three hundred ninety billion, one hundred ninety-nine million, seven hundred ninety-six thousand, four hundred forty-eight".