400401213400 has 96 divisors (see below), whose sum is σ = 942051736080. Its totient is φ = 158258880000.

The previous prime is 400401213389. The next prime is 400401213409. The reversal of 400401213400 is 4312104004.

It is a super-2 number, since 2×400401213400² (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 (400401213409) 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, 5648175 + ... + 5718625.

Almost surely, 2^400401213400 is an apocalyptic number.

400401213400 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 400401213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471025868040).

400401213400 is an abundant number, since it is smaller than the sum of its proper divisors (541650522680).

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

400401213400 is a wasteful number, since it uses less digits than its factorization.

400401213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70805 (or 70796 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 400401213400 its reverse (4312104004), we get a palindrome (404713317404).

The spelling of 400401213400 in words is "four hundred billion, four hundred one million, two hundred thirteen thousand, four hundred".