1011314220480 has 448 divisors, whose sum is σ = 3728399431680. Its totient is φ = 257803112448.

The previous prime is 1011314220479. The next prime is 1011314220509. The reversal of 1011314220480 is 840224131101.

1011314220480 is a `hidden beast` number, since 10 + 1 + 13 + 142 + 20 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17432482 + ... + 17490398.

It is an arithmetic number, because the mean of its divisors is an integer number (8322320160).

Almost surely, 2^{1011314220480} is an apocalyptic number.

1011314220480 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 1011314220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864199715840).

1011314220480 is an abundant number, since it is smaller than the sum of its proper divisors (2717085211200).

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

1011314220480 is a wasteful number, since it uses less digits than its factorization.

1011314220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58033 (or 58017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1011314220480 its reverse (840224131101), we get a palindrome (1851538351581).

The spelling of 1011314220480 in words is "one trillion, eleven billion, three hundred fourteen million, two hundred twenty thousand, four hundred eighty".