4140267669216 has 384 divisors, whose sum is σ = 14415372195840. Its totient is φ = 1130367135744.

The previous prime is 4140267669191. The next prime is 4140267669253. The reversal of 4140267669216 is 6129667620414.

4140267669216 is a `hidden beast` number, since 414 + 0 + 2 + 6 + 7 + 6 + 6 + 9 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143680026 + ... + 143708838.

It is an arithmetic number, because the mean of its divisors is an integer number (37540031760).

Almost surely, 2^{4140267669216} is an apocalyptic number.

4140267669216 is a gapful number since it is divisible by the number (46) 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 4140267669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207686097920).

4140267669216 is an abundant number, since it is smaller than the sum of its proper divisors (10275104526624).

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

4140267669216 is a wasteful number, since it uses less digits than its factorization.

4140267669216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29895 (or 29881 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4140267669216 in words is "four trillion, one hundred forty billion, two hundred sixty-seven million, six hundred sixty-nine thousand, two hundred sixteen".