4122631968 has 288 divisors, whose sum is σ = 13836275712. Its totient is φ = 1051315200.

The previous prime is 4122631939. The next prime is 4122632029. The reversal of 4122631968 is 8691362214.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520023 + ... + 3521193.

It is an arithmetic number, because the mean of its divisors is an integer number (48042624).

Almost surely, 2^4122631968 is an apocalyptic number.

4122631968 is a gapful number since it is divisible by the number (48) 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 4122631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918137856).

4122631968 is an abundant number, since it is smaller than the sum of its proper divisors (9713643744).

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

4122631968 is a wasteful number, since it uses less digits than its factorization.

4122631968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1227 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 4122631968 is about 64207.7251426960. The cubic root of 4122631968 is about 1603.4602155897.

The spelling of 4122631968 in words is "four billion, one hundred twenty-two million, six hundred thirty-one thousand, nine hundred sixty-eight".