398290163040 has 2304 divisors, whose sum is σ = 1957548902400. Its totient is φ = 73574645760.

The previous prime is 398290163027. The next prime is 398290163189. The reversal of 398290163040 is 40361092893.

It is a happy number.

398290163040 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 9 + 0 + 1 + 630 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1181869752 + ... + 1181870088.

It is an arithmetic number, because the mean of its divisors is an integer number (849630600).

Almost surely, 2^398290163040 is an apocalyptic number.

398290163040 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 398290163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978774451200).

398290163040 is an abundant number, since it is smaller than the sum of its proper divisors (1559258739360).

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

398290163040 is a wasteful number, since it uses less digits than its factorization.

398290163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 398290163040 in words is "three hundred ninety-eight billion, two hundred ninety million, one hundred sixty-three thousand, forty".