11454711287040 has 864 divisors, whose sum is σ = 46054165248000. Its totient is φ = 2574625996800.

The previous prime is 11454711287027. The next prime is 11454711287059. The reversal of 11454711287040 is 4078211745411.

11454711287040 is a `hidden beast` number, since 1 + 1 + 4 + 547 + 11 + 28 + 70 + 4 + 0 = 666.

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

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, 1213546641 + ... + 1213556079.

It is an arithmetic number, because the mean of its divisors is an integer number (53303432000).

Almost surely, 2^{11454711287040} is an apocalyptic number.

11454711287040 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 11454711287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027082624000).

11454711287040 is an abundant number, since it is smaller than the sum of its proper divisors (34599453960960).

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

11454711287040 is a wasteful number, since it uses less digits than its factorization.

11454711287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11454711287040 in words is "eleven trillion, four hundred fifty-four billion, seven hundred eleven million, two hundred eighty-seven thousand, forty".