399954805049088 has 576 divisors, whose sum is σ = 1206831757824000. Its totient is φ = 130618394210304.

The previous prime is 399954805048993. The next prime is 399954805049101. The reversal of 399954805049088 is 880940508459993.

399954805049088 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 5 + 48 + 0 + 5 + 0 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 399954805048998 and 399954805049016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199677884695 + ... + 199677886697.

It is an arithmetic number, because the mean of its divisors is an integer number (2095194024000).

Almost surely, 2^{399954805049088} 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 399954805049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603415878912000).

399954805049088 is an abundant number, since it is smaller than the sum of its proper divisors (806876952774912).

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

399954805049088 is a wasteful number, since it uses less digits than its factorization.

399954805049088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 399954805049088 in words is "three hundred ninety-nine trillion, nine hundred fifty-four billion, eight hundred five million, forty-nine thousand, eighty-eight".