401218272000 has 2160 divisors, whose sum is σ = 1878121076832. Its totient is φ = 84652646400.

The previous prime is 401218271963. The next prime is 401218272017. The reversal of 401218272000 is 272812104.

401218272000 is a `hidden beast` number, since 401 + 218 + 27 + 20 + 0 + 0 = 666.

401218272000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×401218272000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30862943994 + ... + 30862944006.

Almost surely, 2^401218272000 is an apocalyptic number.

401218272000 is a gapful number since it is divisible by the number (40) 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 401218272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939060538416).

401218272000 is an abundant number, since it is smaller than the sum of its proper divisors (1476902804832).

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

401218272000 is an frugal number, since it uses more digits than its factorization.

401218272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 401218272000 in words is "four hundred one billion, two hundred eighteen million, two hundred seventy-two thousand".