400412021222400 has 1056 divisors, whose sum is σ = 1531249388266752. Its totient is φ = 91202047180800.

The previous prime is 400412021222371. The next prime is 400412021222419. The reversal of 400412021222400 is 4222120214004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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, 8430235452 + ... + 8430282948.

It is an arithmetic number, because the mean of its divisors is an integer number (1450046769192).

Almost surely, 2^{400412021222400} is an apocalyptic number.

400412021222400 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 400412021222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765624694133376).

400412021222400 is an abundant number, since it is smaller than the sum of its proper divisors (1130837367044352).

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

400412021222400 is a wasteful number, since it uses less digits than its factorization.

400412021222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48145 (or 48122 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 400412021222400 its reverse (4222120214004), we get a palindrome (404634141436404).

The spelling of 400412021222400 in words is "four hundred trillion, four hundred twelve billion, twenty-one million, two hundred twenty-two thousand, four hundred".