400012034220 has 288 divisors, whose sum is σ = 1322044633728. Its totient is φ = 97491050496.

The previous prime is 400012034197. The next prime is 400012034243. The reversal of 400012034220 is 22430210004.

400012034220 is a `hidden beast` number, since 40 + 0 + 0 + 1 + 203 + 422 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400012034197) and next prime (400012034243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400012034193 and 400012034202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63060369 + ... + 63066711.

It is an arithmetic number, because the mean of its divisors is an integer number (4590432756).

Almost surely, 2^400012034220 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 400012034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661022316864).

400012034220 is an abundant number, since it is smaller than the sum of its proper divisors (922032599508).

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

400012034220 is a wasteful number, since it uses less digits than its factorization.

400012034220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 400012034220 its reverse (22430210004), we get a palindrome (422442244224).

The spelling of 400012034220 in words is "four hundred billion, twelve million, thirty-four thousand, two hundred twenty".