401201524153200 has 240 divisors, whose sum is σ = 1341361003044096. Its totient is φ = 102312469248000.

The previous prime is 401201524153189. The next prime is 401201524153231. The reversal of 401201524153200 is 2351425102104.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 121382475 + ... + 124643925.

Almost surely, 2^{401201524153200} is an apocalyptic number.

401201524153200 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 401201524153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670680501522048).

401201524153200 is an abundant number, since it is smaller than the sum of its proper divisors (940159478890896).

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

401201524153200 is a wasteful number, since it uses less digits than its factorization.

401201524153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265952 (or 3265941 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 401201524153200 its reverse (2351425102104), we get a palindrome (403552949255304).

The spelling of 401201524153200 in words is "four hundred one trillion, two hundred one billion, five hundred twenty-four million, one hundred fifty-three thousand, two hundred".