40712712284160 has 2304 divisors, whose sum is σ = 176146284787200. Its totient is φ = 8485764857856.

The previous prime is 40712712284063. The next prime is 40712712284161. The reversal of 40712712284160 is 6148221721704.

40712712284160 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 2 + 7 + 1 + 228 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (40712712284161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51731527287 + ... + 51731528073.

It is an arithmetic number, because the mean of its divisors is an integer number (76452380550).

Almost surely, 2^{40712712284160} is an apocalyptic number.

40712712284160 is a gapful number since it is divisible by the number (40) 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 40712712284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88073142393600).

40712712284160 is an abundant number, since it is smaller than the sum of its proper divisors (135433572503040).

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

40712712284160 is a wasteful number, since it uses less digits than its factorization.

40712712284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 40712712284160 in words is "forty trillion, seven hundred twelve billion, seven hundred twelve million, two hundred eighty-four thousand, one hundred sixty".