1628419776144 has 240 divisors, whose sum is σ = 4912173600768. Its totient is φ = 463497909504.

The previous prime is 1628419776121. The next prime is 1628419776199. The reversal of 1628419776144 is 4416779148261.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893262817 + ... + 893264639.

Almost surely, 2^{1628419776144} is an apocalyptic number.

1628419776144 is a gapful number since it is divisible by the number (14) 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 1628419776144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456086800384).

1628419776144 is an abundant number, since it is smaller than the sum of its proper divisors (3283753824624).

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

1628419776144 is a wasteful number, since it uses less digits than its factorization.

1628419776144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3069 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 1628419776144 in words is "one trillion, six hundred twenty-eight billion, four hundred nineteen million, seven hundred seventy-six thousand, one hundred forty-four".