3999766417920 has 2400 divisors, whose sum is σ = 18178466378688. Its totient is φ = 833065648128.

The previous prime is 3999766417919. The next prime is 3999766417937. The reversal of 3999766417920 is 297146679993.

3999766417920 is a `hidden beast` number, since 39 + 9 + 97 + 6 + 6 + 417 + 92 + 0 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 14133450099 + ... + 14133450381.

Almost surely, 2^{3999766417920} is an apocalyptic number.

3999766417920 is a gapful number since it is divisible by the number (30) 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 3999766417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089233189344).

3999766417920 is an abundant number, since it is smaller than the sum of its proper divisors (14178699960768).

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

3999766417920 is a wasteful number, since it uses less digits than its factorization.

3999766417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 3999766417920 in words is "three trillion, nine hundred ninety-nine billion, seven hundred sixty-six million, four hundred seventeen thousand, nine hundred twenty".