4056419989440 has 1344 divisors, whose sum is σ = 17816877711360. Its totient is φ = 823905976320.

The previous prime is 4056419989331. The next prime is 4056419989441. The reversal of 4056419989440 is 449899146504.

4056419989440 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 419 + 98 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056419989441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3731756577 + ... + 3731757663.

It is an arithmetic number, because the mean of its divisors is an integer number (13256605440).

Almost surely, 2^{4056419989440} is an apocalyptic number.

4056419989440 is a gapful number since it is divisible by the number (40) 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 4056419989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908438855680).

4056419989440 is an abundant number, since it is smaller than the sum of its proper divisors (13760457721920).

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

4056419989440 is a wasteful number, since it uses less digits than its factorization.

4056419989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4056419989440 in words is "four trillion, fifty-six billion, four hundred nineteen million, nine hundred eighty-nine thousand, four hundred forty".