400213132224 has 112 divisors (see below), whose sum is σ = 1070596893600. Its totient is φ = 131938140160.

The previous prime is 400213132223. The next prime is 400213132237. The reversal of 400213132224 is 422231312004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 400213132194 and 400213132203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400213132223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6635644 + ... + 6695684.

Almost surely, 2^400213132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400213132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535298446800).

400213132224 is an abundant number, since it is smaller than the sum of its proper divisors (670383761376).

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

400213132224 is a wasteful number, since it uses less digits than its factorization.

400213132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60438 (or 60428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400213132224 its reverse (422231312004), we get a palindrome (822444444228).

The spelling of 400213132224 in words is "four hundred billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred twenty-four".