1401100214220 has 288 divisors, whose sum is σ = 5188382978688. Its totient is φ = 298745266176.

The previous prime is 1401100214219. The next prime is 1401100214251. The reversal of 1401100214220 is 224120011041.

1401100214220 is a `hidden beast` number, since 1 + 401 + 100 + 2 + 142 + 20 = 666.

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 = 1401100214193 and 1401100214202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2131032 + ... + 2709888.

It is an arithmetic number, because the mean of its divisors is an integer number (18015218676).

Almost surely, 2^{1401100214220} is an apocalyptic number.

1401100214220 is a gapful number since it is divisible by the number (10) 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 1401100214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594191489344).

1401100214220 is an abundant number, since it is smaller than the sum of its proper divisors (3787282764468).

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

1401100214220 is a wasteful number, since it uses less digits than its factorization.

1401100214220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579009 (or 579004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1401100214220 its reverse (224120011041), we get a palindrome (1625220225261).

The spelling of 1401100214220 in words is "one trillion, four hundred one billion, one hundred million, two hundred fourteen thousand, two hundred twenty".