1124506351440 has 240 divisors, whose sum is σ = 3810150230016. Its totient is φ = 297198720000.

The previous prime is 1124506351439. The next prime is 1124506351559. The reversal of 1124506351440 is 441536054211.

1124506351440 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 5 + 0 + 635 + 14 + 4 + 0 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1124506351395 and 1124506351404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96097590 + ... + 96109290.

Almost surely, 2^{1124506351440} is an apocalyptic number.

1124506351440 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 1124506351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905075115008).

1124506351440 is an abundant number, since it is smaller than the sum of its proper divisors (2685643878576).

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

1124506351440 is a wasteful number, since it uses less digits than its factorization.

1124506351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1124506351440 in words is "one trillion, one hundred twenty-four billion, five hundred six million, three hundred fifty-one thousand, four hundred forty".