3987014451840 has 1536 divisors, whose sum is σ = 17245451059200. Its totient is φ = 860851224576.

The previous prime is 3987014451809. The next prime is 3987014451877. The reversal of 3987014451840 is 481544107893.

3987014451840 is a `hidden beast` number, since 3 + 9 + 8 + 70 + 14 + 4 + 518 + 40 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1483814977 + ... + 1483817663.

It is an arithmetic number, because the mean of its divisors is an integer number (11227507200).

Almost surely, 2^{3987014451840} is an apocalyptic number.

3987014451840 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 3987014451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622725529600).

3987014451840 is an abundant number, since it is smaller than the sum of its proper divisors (13258436607360).

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

3987014451840 is a wasteful number, since it uses less digits than its factorization.

3987014451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 3987014451840 in words is "three trillion, nine hundred eighty-seven billion, fourteen million, four hundred fifty-one thousand, eight hundred forty".