1042401021220 has 72 divisors (see below), whose sum is σ = 2370845418984. Its totient is φ = 384811435008.

The previous prime is 1042401021197. The next prime is 1042401021223. The reversal of 1042401021220 is 221201042401.

It can be written as a sum of positive squares in 12 ways, for example, as 577879713856 + 464521307364 = 760184^2 + 681558^2 .

It is not an unprimeable number, because it can be changed into a prime (1042401021223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19093402 + ... + 19147918.

It is an arithmetic number, because the mean of its divisors is an integer number (32928408597).

Almost surely, 2^{1042401021220} is an apocalyptic number.

1042401021220 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 1042401021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185422709492).

1042401021220 is an abundant number, since it is smaller than the sum of its proper divisors (1328444397764).

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

1042401021220 is a wasteful number, since it uses less digits than its factorization.

1042401021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60209 (or 60194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1042401021220 its reverse (221201042401), we get a palindrome (1263602063621).

The spelling of 1042401021220 in words is "one trillion, forty-two billion, four hundred one million, twenty-one thousand, two hundred twenty".