1143611478240 has 576 divisors, whose sum is σ = 4729143605760. Its totient is φ = 229437788160.

The previous prime is 1143611478221. The next prime is 1143611478277. The reversal of 1143611478240 is 428741163411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1143611478192 and 1143611478201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7426669 + ... + 7579091.

It is an arithmetic number, because the mean of its divisors is an integer number (8210318760).

Almost surely, 2^{1143611478240} is an apocalyptic number.

1143611478240 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 1143611478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364571802880).

1143611478240 is an abundant number, since it is smaller than the sum of its proper divisors (3585532127520).

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

1143611478240 is a wasteful number, since it uses less digits than its factorization.

1143611478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152495 (or 152480 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 1143611478240 in words is "one trillion, one hundred forty-three billion, six hundred eleven million, four hundred seventy-eight thousand, two hundred forty".