420011441100 has 144 divisors (see below), whose sum is σ = 1369277360640. Its totient is φ = 110425492800.

The previous prime is 420011441081. The next prime is 420011441111. The reversal of 420011441100 is 1144110024.

420011441100 is a `hidden beast` number, since 4 + 200 + 11 + 441 + 10 + 0 = 666.

It is a super-2 number, since 2×420011441100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903792 + ... + 1287191.

It is an arithmetic number, because the mean of its divisors is an integer number (9508870560).

Almost surely, 2^420011441100 is an apocalyptic number.

It is an amenable number.

420011441100 is an abundant number, since it is smaller than the sum of its proper divisors (949265919540).

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

420011441100 is a wasteful number, since it uses less digits than its factorization.

420011441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191077 (or 2191064 counting only the distinct ones).

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

Adding to 420011441100 its reverse (1144110024), we get a palindrome (421155551124).

The spelling of 420011441100 in words is "four hundred twenty billion, eleven million, four hundred forty-one thousand, one hundred".