42000400400220 has 36 divisors (see below), whose sum is σ = 127401214547880. Its totient is φ = 11200106773344.

The previous prime is 42000400400209. The next prime is 42000400400279. The reversal of 42000400400220 is 2200400400024.

42000400400220 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 0 + 40 + 0 + 400 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 42000400400193 and 42000400400202.

It is a congruent number.

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, 116667778710 + ... + 116667779069.

It is an arithmetic number, because the mean of its divisors is an integer number (3538922626330).

Almost surely, 2^{42000400400220} is an apocalyptic number.

It is an amenable number.

42000400400220 is an abundant number, since it is smaller than the sum of its proper divisors (85400814147660).

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

42000400400220 is a wasteful number, since it uses less digits than its factorization.

42000400400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233335557794 (or 233335557789 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42000400400220 its reverse (2200400400024), we get a palindrome (44200800800244).

The spelling of 42000400400220 in words is "forty-two trillion, four hundred million, four hundred thousand, two hundred twenty".