40268142216 has 384 divisors, whose sum is σ = 125816820480. Its totient is φ = 11561730048.

The previous prime is 40268142203. The next prime is 40268142223. The reversal of 40268142216 is 61224186204.

40268142216 is a `hidden beast` number, since 40 + 268 + 142 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69788520 + ... + 69789096.

It is an arithmetic number, because the mean of its divisors is an integer number (327647970).

Almost surely, 2^40268142216 is an apocalyptic number.

40268142216 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 40268142216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62908410240).

40268142216 is an abundant number, since it is smaller than the sum of its proper divisors (85548678264).

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

40268142216 is a wasteful number, since it uses less digits than its factorization.

40268142216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40268142216 in words is "forty billion, two hundred sixty-eight million, one hundred forty-two thousand, two hundred sixteen".