401120411104100 has 36 divisors (see below), whose sum is σ = 870438024096228. Its totient is φ = 160446923520000.

The previous prime is 401120411104081. The next prime is 401120411104121. The reversal of 401120411104100 is 1401114021104.

It can be written as a sum of positive squares in 6 ways, for example, as 28506031522816 + 372614379581284 = 5339104^2 + 19303222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2462501 + ... + 28430700.

It is an arithmetic number, because the mean of its divisors is an integer number (24178834002673).

Almost surely, 2^{401120411104100} is an apocalyptic number.

It is an amenable number.

401120411104100 is an abundant number, since it is smaller than the sum of its proper divisors (469317612992128).

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

401120411104100 is a wasteful number, since it uses less digits than its factorization.

401120411104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31023056 (or 31023049 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 401120411104100 its reverse (1401114021104), we get a palindrome (402521525125204).

The spelling of 401120411104100 in words is "four hundred one trillion, one hundred twenty billion, four hundred eleven million, one hundred four thousand, one hundred".