12674411735040 has 1152 divisors, whose sum is σ = 49218372403200. Its totient is φ = 2989929922560.

The previous prime is 12674411734967. The next prime is 12674411735059. The reversal of 12674411735040 is 4053711447621.

12674411735040 is a `hidden beast` number, since 1 + 2 + 6 + 74 + 4 + 1 + 1 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 20880414417 + ... + 20880415023.

It is an arithmetic number, because the mean of its divisors is an integer number (42724281600).

Almost surely, 2^{12674411735040} is an apocalyptic number.

12674411735040 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 12674411735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24609186201600).

12674411735040 is an abundant number, since it is smaller than the sum of its proper divisors (36543960668160).

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

12674411735040 is a wasteful number, since it uses less digits than its factorization.

12674411735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12674411735040 in words is "twelve trillion, six hundred seventy-four billion, four hundred eleven million, seven hundred thirty-five thousand, forty".