399844945537488 has 960 divisors, whose sum is σ = 1365195559392000. Its totient is φ = 111898165800960.

The previous prime is 399844945537487. The next prime is 399844945537489. The reversal of 399844945537488 is 884735549448993.

399844945537488 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 4 + 4 + 9 + 4 + 553 + 7 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (399844945537487) and next prime (399844945537489).

It is a junction number, because it is equal to n+sod(n) for n = 399844945537398 and 399844945537407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399844945537483) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8820929608 + ... + 8820974936.

It is an arithmetic number, because the mean of its divisors is an integer number (1422078707700).

Almost surely, 2^{399844945537488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399844945537488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682597779696000).

399844945537488 is an abundant number, since it is smaller than the sum of its proper divisors (965350613854512).

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

399844945537488 is a wasteful number, since it uses less digits than its factorization.

399844945537488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45454 (or 45397 counting only the distinct ones).

The product of its digits is 150493593600, while the sum is 90.

The spelling of 399844945537488 in words is "three hundred ninety-nine trillion, eight hundred forty-four billion, nine hundred forty-five million, five hundred thirty-seven thousand, four hundred eighty-eight".