398182055040 has 1536 divisors, whose sum is σ = 1823347169280. Its totient is φ = 80621568000.

The previous prime is 398182055023. The next prime is 398182055057. The reversal of 398182055040 is 40550281893.

398182055040 is a `hidden beast` number, since 3 + 98 + 1 + 8 + 2 + 0 + 550 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (398182055023) and next prime (398182055057).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 490976235 + ... + 490977045.

It is an arithmetic number, because the mean of its divisors is an integer number (1187074980).

Almost surely, 2^398182055040 is an apocalyptic number.

398182055040 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 398182055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911673584640).

398182055040 is an abundant number, since it is smaller than the sum of its proper divisors (1425165114240).

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

398182055040 is a wasteful number, since it uses less digits than its factorization.

398182055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 398182055040 in words is "three hundred ninety-eight billion, one hundred eighty-two million, fifty-five thousand, forty".