3989400119460 has 576 divisors, whose sum is σ = 14997740083200. Its totient is φ = 862291899648.

The previous prime is 3989400119459. The next prime is 3989400119501. The reversal of 3989400119460 is 649110049893.

It is a happy number.

3989400119460 is a `hidden beast` number, since 3 + 9 + 89 + 400 + 11 + 94 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3989400119397 and 3989400119406.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 844672659 + ... + 844677381.

It is an arithmetic number, because the mean of its divisors is an integer number (26037743200).

Almost surely, 2^{3989400119460} is an apocalyptic number.

3989400119460 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 3989400119460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498870041600).

3989400119460 is an abundant number, since it is smaller than the sum of its proper divisors (11008339963740).

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

3989400119460 is a wasteful number, since it uses less digits than its factorization.

3989400119460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 3989400119460 in words is "three trillion, nine hundred eighty-nine billion, four hundred million, one hundred nineteen thousand, four hundred sixty".