399958041600 has 1320 divisors, whose sum is σ = 1642111309608. Its totient is φ = 95551488000.

The previous prime is 399958041577. The next prime is 399958041607. The reversal of 399958041600 is 6140859993.

399958041600 is a `hidden beast` number, since 399 + 95 + 8 + 0 + 4 + 160 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10102662144 + 389855379456 = 100512^2 + 624384^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399958041607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 997401400 + ... + 997401800.

Almost surely, 2^399958041600 is an apocalyptic number.

399958041600 is a gapful number since it is divisible by the number (30) 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 399958041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821055654804).

399958041600 is an abundant number, since it is smaller than the sum of its proper divisors (1242153268008).

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

399958041600 is a wasteful number, since it uses less digits than its factorization.

399958041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 399958041600 in words is "three hundred ninety-nine billion, nine hundred fifty-eight million, forty-one thousand, six hundred".