4149978331968 has 448 divisors, whose sum is σ = 14283706337280. Its totient is φ = 1157070790656.

The previous prime is 4149978331951. The next prime is 4149978332081. The reversal of 4149978331968 is 8691338799414.

4149978331968 is a `hidden beast` number, since 4 + 1 + 499 + 78 + 3 + 3 + 1 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4149978331968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4149978331896 and 4149978331905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86692296 + ... + 86740152.

Almost surely, 2^{4149978331968} is an apocalyptic number.

4149978331968 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 4149978331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141853168640).

4149978331968 is an abundant number, since it is smaller than the sum of its proper divisors (10133728005312).

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

4149978331968 is a wasteful number, since it uses less digits than its factorization.

4149978331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48059 (or 48043 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 4149978331968 in words is "four trillion, one hundred forty-nine billion, nine hundred seventy-eight million, three hundred thirty-one thousand, nine hundred sixty-eight".