401121150454200 has 576 divisors, whose sum is σ = 1387738415306880. Its totient is φ = 95752630195200.

The previous prime is 401121150454183. The next prime is 401121150454201. The reversal of 401121150454200 is 2454051121104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401121150454201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13605152659 + ... + 13605182141.

It is an arithmetic number, because the mean of its divisors is an integer number (2409268082130).

Almost surely, 2^{401121150454200} is an apocalyptic number.

401121150454200 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 401121150454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693869207653440).

401121150454200 is an abundant number, since it is smaller than the sum of its proper divisors (986617264852680).

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

401121150454200 is a wasteful number, since it uses less digits than its factorization.

401121150454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32388 (or 32368 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 401121150454200 in words is "four hundred one trillion, one hundred twenty-one billion, one hundred fifty million, four hundred fifty-four thousand, two hundred".