1120635613440 has 1728 divisors, whose sum is σ = 5041534176000. Its totient is φ = 234101145600.

The previous prime is 1120635613429. The next prime is 1120635613483. The reversal of 1120635613440 is 443165360211.

1120635613440 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 35 + 613 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1120635613440² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120635613395 and 1120635613404.

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, 933084840 + ... + 933086040.

It is an arithmetic number, because the mean of its divisors is an integer number (2917554500).

Almost surely, 2^{1120635613440} is an apocalyptic number.

1120635613440 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 1120635613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520767088000).

1120635613440 is an abundant number, since it is smaller than the sum of its proper divisors (3920898562560).

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

1120635613440 is a wasteful number, since it uses less digits than its factorization.

1120635613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1120635613440 in words is "one trillion, one hundred twenty billion, six hundred thirty-five million, six hundred thirteen thousand, four hundred forty".