398070986544000 has 5760 divisors, whose sum is σ = 1916630184081600. Its totient is φ = 80480480256000.

The previous prime is 398070986543987. The next prime is 398070986544067. The reversal of 398070986544000 is 445689070893.

398070986544000 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 7 + 0 + 9 + 86 + 544 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×398070986544000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 10758675311982 + ... + 10758675312018.

Almost surely, 2^{398070986544000} is an apocalyptic number.

398070986544000 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 398070986544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958315092040800).

398070986544000 is an abundant number, since it is smaller than the sum of its proper divisors (1518559197537600).

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

398070986544000 is an frugal number, since it uses more digits than its factorization.

398070986544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 398070986544000 in words is "three hundred ninety-eight trillion, seventy billion, nine hundred eighty-six million, five hundred forty-four thousand".