1034200400220 has 288 divisors, whose sum is σ = 3627508510080. Its totient is φ = 236222300160.

The previous prime is 1034200400213. The next prime is 1034200400251. The reversal of 1034200400220 is 220040024301.

1034200400220 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 0 + 0 + 400 + 220 = 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 = 1034200400193 and 1034200400202.

It is a congruent number.

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, 2641296 + ... + 3007464.

It is an arithmetic number, because the mean of its divisors is an integer number (12595515660).

Almost surely, 2^{1034200400220} is an apocalyptic number.

1034200400220 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 1034200400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813754255040).

1034200400220 is an abundant number, since it is smaller than the sum of its proper divisors (2593308109860).

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

1034200400220 is a wasteful number, since it uses less digits than its factorization.

1034200400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366285 (or 366280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1034200400220 its reverse (220040024301), we get a palindrome (1254240424521).

The spelling of 1034200400220 in words is "one trillion, thirty-four billion, two hundred million, four hundred thousand, two hundred twenty".