11464203560040 has 576 divisors, whose sum is σ = 47880432288000. Its totient is φ = 2352014945280.

The previous prime is 11464203560021. The next prime is 11464203560053. The reversal of 11464203560040 is 4006530246411.

11464203560040 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 4 + 2 + 0 + 3 + 5 + 600 + 40 = 666.

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 = 11464203559977 and 11464203560004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14955226 + ... + 15703094.

It is an arithmetic number, because the mean of its divisors is an integer number (83125750500).

Almost surely, 2^{11464203560040} is an apocalyptic number.

11464203560040 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 11464203560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940216144000).

11464203560040 is an abundant number, since it is smaller than the sum of its proper divisors (36416228727960).

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

11464203560040 is a wasteful number, since it uses less digits than its factorization.

11464203560040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747990 (or 747976 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11464203560040 in words is "eleven trillion, four hundred sixty-four billion, two hundred three million, five hundred sixty thousand, forty".