399019622400 has 1215 divisors, whose sum is σ = 1698823038549. Its totient is φ = 89263964160.

The previous prime is 399019622377. The next prime is 399019622423. The reversal of 399019622400 is 4226910993.

It is a happy number.

The square root of 399019622400 is 631680.

It is a perfect power (a square), and thus also a powerful number.

399019622400 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 19 + 622 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (399019622377) and next prime (399019622423).

It can be written as a sum of positive squares in only one way, i.e., 143647064064 + 255372558336 = 379008^2 + 505344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8489779177 + ... + 8489779223.

Almost surely, 2^399019622400 is an apocalyptic number.

399019622400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

399019622400 is the 631680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399019622400

399019622400 is an abundant number, since it is smaller than the sum of its proper divisors (1299803416149).

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

399019622400 is an equidigital number, since it uses as much as digits as its factorization.

399019622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 399019622400 in words is "three hundred ninety-nine billion, nineteen million, six hundred twenty-two thousand, four hundred".