1034130284880 has 960 divisors, whose sum is σ = 4121520205824. Its totient is φ = 209909145600.

The previous prime is 1034130284879. The next prime is 1034130284897. The reversal of 1034130284880 is 884820314301.

It is a super-2 number, since 2×1034130284880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1977304299 + ... + 1977304821.

Almost surely, 2^{1034130284880} is an apocalyptic number.

1034130284880 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 1034130284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060760102912).

1034130284880 is an abundant number, since it is smaller than the sum of its proper divisors (3087389920944).

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

1034130284880 is a wasteful number, since it uses less digits than its factorization.

1034130284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 1034130284880 in words is "one trillion, thirty-four billion, one hundred thirty million, two hundred eighty-four thousand, eight hundred eighty".