12491051459040 has 3840 divisors, whose sum is σ = 59242304765952. Its totient is φ = 2423748096000.

The previous prime is 12491051458967. The next prime is 12491051459053. The reversal of 12491051459040 is 4095415019421.

12491051459040 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 1 + 0 + 5 + 14 + 590 + 40 = 666.

12491051459040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 639 ways as a sum of consecutive naturals, for example, 175930302205 + ... + 175930302275.

Almost surely, 2^{12491051459040} is an apocalyptic number.

12491051459040 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 12491051459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29621152382976).

12491051459040 is an abundant number, since it is smaller than the sum of its proper divisors (46751253306912).

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

12491051459040 is a wasteful number, since it uses less digits than its factorization.

12491051459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12491051459040 in words is "twelve trillion, four hundred ninety-one billion, fifty-one million, four hundred fifty-nine thousand, forty".