398063831040 has 576 divisors, whose sum is σ = 1431457634880. Its totient is φ = 102222397440.

The previous prime is 398063831027. The next prime is 398063831057. The reversal of 398063831040 is 40138360893.

398063831040 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 638 + 3 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364860895 + ... + 364861985.

It is an arithmetic number, because the mean of its divisors is an integer number (2485169505).

Almost surely, 2^398063831040 is an apocalyptic number.

398063831040 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 398063831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715728817440).

398063831040 is an abundant number, since it is smaller than the sum of its proper divisors (1033393803840).

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

398063831040 is a wasteful number, since it uses less digits than its factorization.

398063831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 398063831040 in words is "three hundred ninety-eight billion, sixty-three million, eight hundred thirty-one thousand, forty".