401320452400 has 120 divisors (see below), whose sum is σ = 1104608611040. Its totient is φ = 137258772480.

The previous prime is 401320452367. The next prime is 401320452409. The reversal of 401320452400 is 4254023104.

It is a happy number.

It is a super-2 number, since 2×401320452400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (401320452409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969982 + ... + 1320418.

Almost surely, 2^401320452400 is an apocalyptic number.

401320452400 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 401320452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552304305520).

401320452400 is an abundant number, since it is smaller than the sum of its proper divisors (703288158640).

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

401320452400 is a wasteful number, since it uses less digits than its factorization.

401320452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350871 (or 350860 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 401320452400 its reverse (4254023104), we get a palindrome (405574475504).

It can be divided in two parts, 4013204 and 52400, that added together give a palindrome (4065604).

The spelling of 401320452400 in words is "four hundred one billion, three hundred twenty million, four hundred fifty-two thousand, four hundred".