11407966907904 has 480 divisors, whose sum is σ = 37970389828800. Its totient is φ = 3229854990336.

The previous prime is 11407966907893. The next prime is 11407966907933. The reversal of 11407966907904 is 40970966970411.

11407966907904 is a `hidden beast` number, since 11 + 407 + 9 + 66 + 90 + 79 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768948072 + ... + 1768954520.

It is an arithmetic number, because the mean of its divisors is an integer number (79104978810).

Almost surely, 2^{11407966907904} is an apocalyptic number.

11407966907904 is a gapful number since it is divisible by the number (14) 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 11407966907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985194914400).

11407966907904 is an abundant number, since it is smaller than the sum of its proper divisors (26562422920896).

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

11407966907904 is a wasteful number, since it uses less digits than its factorization.

11407966907904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 11407966907904 in words is "eleven trillion, four hundred seven billion, nine hundred sixty-six million, nine hundred seven thousand, nine hundred four".