398358051840 has 660 divisors, whose sum is σ = 1660634334216. Its totient is φ = 91048624128.

The previous prime is 398358051797. The next prime is 398358051841. The reversal of 398358051840 is 48150853893.

398358051840 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 5 + 80 + 518 + 40 = 666.

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 (398358051841) 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 59 ways as a sum of consecutive naturals, for example, 20311479 + ... + 20331081.

Almost surely, 2^398358051840 is an apocalyptic number.

398358051840 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 398358051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830317167108).

398358051840 is an abundant number, since it is smaller than the sum of its proper divisors (1262276282376).

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

398358051840 is a wasteful number, since it uses less digits than its factorization.

398358051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654 (or 19620 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 398358051840 in words is "three hundred ninety-eight billion, three hundred fifty-eight million, fifty-one thousand, eight hundred forty".