11273246348040 has 896 divisors, whose sum is σ = 42501789417600. Its totient is φ = 2673142456320.

The previous prime is 11273246348017. The next prime is 11273246348083. The reversal of 11273246348040 is 4084364237211.

11273246348040 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 2 + 4 + 634 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3965262859 + ... + 3965265701.

Almost surely, 2^{11273246348040} is an apocalyptic number.

11273246348040 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 11273246348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250894708800).

11273246348040 is an abundant number, since it is smaller than the sum of its proper divisors (31228543069560).

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

11273246348040 is a wasteful number, since it uses less digits than its factorization.

11273246348040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 11273246348040 in words is "eleven trillion, two hundred seventy-three billion, two hundred forty-six million, three hundred forty-eight thousand, forty".