1219110900480 has 1728 divisors, whose sum is σ = 5042724470784. Its totient is φ = 268849152000.

The previous prime is 1219110900467. The next prime is 1219110900499. The reversal of 1219110900480 is 840090119121.

1219110900480 is a `hidden beast` number, since 1 + 2 + 1 + 91 + 1 + 0 + 90 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9306190015 + ... + 9306190145.

It is an arithmetic number, because the mean of its divisors is an integer number (2918243328).

Almost surely, 2^{1219110900480} is an apocalyptic number.

1219110900480 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 1219110900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521362235392).

1219110900480 is an abundant number, since it is smaller than the sum of its proper divisors (3823613570304).

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

1219110900480 is a wasteful number, since it uses less digits than its factorization.

1219110900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1219110900480 in words is "one trillion, two hundred nineteen billion, one hundred ten million, nine hundred thousand, four hundred eighty".