1140225731424 has 288 divisors, whose sum is σ = 3566714860800. Its totient is φ = 343397698560.

The previous prime is 1140225731371. The next prime is 1140225731431. The reversal of 1140225731424 is 4241375220411.

1140225731424 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 225 + 7 + 3 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1140225731424² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36934107 + ... + 36964965.

It is an arithmetic number, because the mean of its divisors is an integer number (12384426600).

Almost surely, 2^{1140225731424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140225731424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783357430400).

1140225731424 is an abundant number, since it is smaller than the sum of its proper divisors (2426489129376).

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

1140225731424 is a wasteful number, since it uses less digits than its factorization.

1140225731424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31098 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1140225731424 in words is "one trillion, one hundred forty billion, two hundred twenty-five million, seven hundred thirty-one thousand, four hundred twenty-four".