1090242478080 has 1064 divisors, whose sum is σ = 4511015679552. Its totient is φ = 247669456896.

The previous prime is 1090242478067. The next prime is 1090242478097. The reversal of 1090242478080 is 808742420901.

1090242478080 is a `hidden beast` number, since 10 + 90 + 2 + 4 + 2 + 478 + 0 + 80 = 666.

It is a super-2 number, since 2×1090242478080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6688604079 + ... + 6688604241.

Almost surely, 2^{1090242478080} is an apocalyptic number.

1090242478080 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 1090242478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255507839776).

1090242478080 is an abundant number, since it is smaller than the sum of its proper divisors (3420773201472).

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

1090242478080 is an frugal number, since it uses more digits than its factorization.

1090242478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 1090242478080 its reverse (808742420901), we get a palindrome (1898984898981).

The spelling of 1090242478080 in words is "one trillion, ninety billion, two hundred forty-two million, four hundred seventy-eight thousand, eighty".