398827440000 has 960 divisors, whose sum is σ = 1607964724080. Its totient is φ = 94003200000.

The previous prime is 398827439981. The next prime is 398827440001. The reversal of 398827440000 is 44728893.

398827440000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398827440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 293039320 + ... + 293040680.

Almost surely, 2^398827440000 is an apocalyptic number.

398827440000 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 398827440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803982362040).

398827440000 is an abundant number, since it is smaller than the sum of its proper divisors (1209137284080).

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

398827440000 is a wasteful number, since it uses less digits than its factorization.

398827440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 398827440000 in words is "three hundred ninety-eight billion, eight hundred twenty-seven million, four hundred forty thousand".