4122660638376 has 384 divisors, whose sum is σ = 13540706150400. Its totient is φ = 1107787000320.

The previous prime is 4122660638339. The next prime is 4122660638413. The reversal of 4122660638376 is 6738360662214.

4122660638376 is a `hidden beast` number, since 4 + 1 + 2 + 26 + 606 + 3 + 8 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4122660638339) and next prime (4122660638413).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 165509715 + ... + 165534621.

It is an arithmetic number, because the mean of its divisors is an integer number (35262255600).

Almost surely, 2^{4122660638376} is an apocalyptic number.

4122660638376 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 4122660638376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770353075200).

4122660638376 is an abundant number, since it is smaller than the sum of its proper divisors (9418045512024).

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

4122660638376 is a wasteful number, since it uses less digits than its factorization.

4122660638376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25189 (or 25182 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4122660638376 in words is "four trillion, one hundred twenty-two billion, six hundred sixty million, six hundred thirty-eight thousand, three hundred seventy-six".