1143347122440 has 256 divisors, whose sum is σ = 4017807360000. Its totient is φ = 288779109120.

The previous prime is 1143347122361. The next prime is 1143347122453. The reversal of 1143347122440 is 442217433411.

1143347122440 is a `hidden beast` number, since 1 + 14 + 334 + 71 + 2 + 244 + 0 = 666.

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 = 1143347122395 and 1143347122404.

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, 1210261 + ... + 1936859.

It is an arithmetic number, because the mean of its divisors is an integer number (15694560000).

Almost surely, 2^{1143347122440} is an apocalyptic number.

1143347122440 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 1143347122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008903680000).

1143347122440 is an abundant number, since it is smaller than the sum of its proper divisors (2874460237560).

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

1143347122440 is a wasteful number, since it uses less digits than its factorization.

1143347122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726697 (or 726687 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1143347122440 in words is "one trillion, one hundred forty-three billion, three hundred forty-seven million, one hundred twenty-two thousand, four hundred forty".