1090906224480 has 240 divisors, whose sum is σ = 3868245977904. Its totient is φ = 289528888320.

The previous prime is 1090906224479. The next prime is 1090906224497. The reversal of 1090906224480 is 844226090901.

1090906224480 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 90 + 62 + 24 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2535094 + ... + 2934026.

Almost surely, 2^{1090906224480} is an apocalyptic number.

1090906224480 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 1090906224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934122988952).

1090906224480 is an abundant number, since it is smaller than the sum of its proper divisors (2777339753424).

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

1090906224480 is a wasteful number, since it uses less digits than its factorization.

1090906224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399171 (or 399154 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1090906224480 in words is "one trillion, ninety billion, nine hundred six million, two hundred twenty-four thousand, four hundred eighty".