1042306821080 has 256 divisors, whose sum is σ = 2866445107200. Its totient is φ = 333399951360.

The previous prime is 1042306821053. The next prime is 1042306821107. The reversal of 1042306821080 is 801286032401.

It is an interprime number because it is at equal distance from previous prime (1042306821053) and next prime (1042306821107).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1042306821080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187025174 + ... + 187030746.

It is an arithmetic number, because the mean of its divisors is an integer number (11197051200).

Almost surely, 2^{1042306821080} is an apocalyptic number.

1042306821080 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 1042306821080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433222553600).

1042306821080 is an abundant number, since it is smaller than the sum of its proper divisors (1824138286120).

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

1042306821080 is a wasteful number, since it uses less digits than its factorization.

1042306821080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 1042306821080 in words is "one trillion, forty-two billion, three hundred six million, eight hundred twenty-one thousand, eighty".