11270283712240 has 320 divisors, whose sum is σ = 31851211392000. Its totient is φ = 3622670327808.

The previous prime is 11270283712201. The next prime is 11270283712267. The reversal of 11270283712240 is 4221738207211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11270283712193 and 11270283712202.

It is a congruent number.

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, 1194260802 + ... + 1194270238.

It is an arithmetic number, because the mean of its divisors is an integer number (99535035600).

Almost surely, 2^{11270283712240} is an apocalyptic number.

11270283712240 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 11270283712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925605696000).

11270283712240 is an abundant number, since it is smaller than the sum of its proper divisors (20580927679760).

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

11270283712240 is a wasteful number, since it uses less digits than its factorization.

11270283712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 11270283712240 in words is "eleven trillion, two hundred seventy billion, two hundred eighty-three million, seven hundred twelve thousand, two hundred forty".