1115271901440 has 576 divisors, whose sum is σ = 4057774963200. Its totient is φ = 289977532416.

The previous prime is 1115271901427. The next prime is 1115271901459. The reversal of 1115271901440 is 441091725111.

1115271901440 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 27 + 190 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1115271901395 and 1115271901404.

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, 224533837 + ... + 224538803.

It is an arithmetic number, because the mean of its divisors is an integer number (7044748200).

Almost surely, 2^{1115271901440} is an apocalyptic number.

1115271901440 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 1115271901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028887481600).

1115271901440 is an abundant number, since it is smaller than the sum of its proper divisors (2942503061760).

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

1115271901440 is an equidigital number, since it uses as much as digits as its factorization.

1115271901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1115271901440 in words is "one trillion, one hundred fifteen billion, two hundred seventy-one million, nine hundred one thousand, four hundred forty".