401342706400 has 144 divisors (see below), whose sum is σ = 987898176720. Its totient is φ = 159209164800.

The previous prime is 401342706383. The next prime is 401342706407. The reversal of 401342706400 is 4607243104.

It is a super-2 number, since 2×401342706400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401342706407) 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, 164685982 + ... + 164688418.

It is an arithmetic number, because the mean of its divisors is an integer number (6860404005).

Almost surely, 2^401342706400 is an apocalyptic number.

401342706400 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 401342706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493949088360).

401342706400 is an abundant number, since it is smaller than the sum of its proper divisors (586555470320).

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

401342706400 is a wasteful number, since it uses less digits than its factorization.

401342706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 401342706400 its reverse (4607243104), we get a palindrome (405949949504).

The spelling of 401342706400 in words is "four hundred one billion, three hundred forty-two million, seven hundred six thousand, four hundred".