401302554055200 has 1440 divisors, whose sum is σ = 1728443100561408. Its totient is φ = 88667115264000.

The previous prime is 401302554055163. The next prime is 401302554055243. The reversal of 401302554055200 is 2550455203104.

401302554055200 is a `hidden beast` number, since 4 + 0 + 1 + 30 + 2 + 554 + 0 + 55 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×401302554055200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12810101937 + ... + 12810133263.

Almost surely, 2^{401302554055200} is an apocalyptic number.

401302554055200 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 401302554055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864221550280704).

401302554055200 is an abundant number, since it is smaller than the sum of its proper divisors (1327140546506208).

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

401302554055200 is a wasteful number, since it uses less digits than its factorization.

401302554055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32308 (or 32286 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 401302554055200 in words is "four hundred one trillion, three hundred two billion, five hundred fifty-four million, fifty-five thousand, two hundred".