398400000000 has 468 divisors, whose sum is σ = 1343835249456. Its totient is φ = 104960000000.

The previous prime is 398399999999. The next prime is 398400000041. The reversal of 398400000000 is 4893.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4799999959 + ... + 4800000041.

Almost surely, 2^398400000000 is an apocalyptic number.

398400000000 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 398400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671917624728).

398400000000 is an abundant number, since it is smaller than the sum of its proper divisors (945435249456).

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

398400000000 is an frugal number, since it uses more digits than its factorization.

398400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 398400000000 its reverse (4893), we get a palindrome (398400004893).

The spelling of 398400000000 in words is "three hundred ninety-eight billion, four hundred million", and thus it is an aban number.