1111842378240 has 640 divisors, whose sum is σ = 3971060121600. Its totient is φ = 263091978240.

The previous prime is 1111842378191. The next prime is 1111842378277. The reversal of 1111842378240 is 428732481111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 1111842378192 and 1111842378201.

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, 1070107641 + ... + 1070108679.

It is an arithmetic number, because the mean of its divisors is an integer number (6204781440).

Almost surely, 2^{1111842378240} is an apocalyptic number.

1111842378240 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 1111842378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985530060800).

1111842378240 is an abundant number, since it is smaller than the sum of its proper divisors (2859217743360).

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

1111842378240 is a wasteful number, since it uses less digits than its factorization.

1111842378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 1111842378240 in words is "one trillion, one hundred eleven billion, eight hundred forty-two million, three hundred seventy-eight thousand, two hundred forty".