4028774400000 has 1080 divisors, whose sum is σ = 16638427260000. Its totient is φ = 920125440000.

The previous prime is 4028774399999. The next prime is 4028774400011. The reversal of 4028774400000 is 44778204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3225599376 + ... + 3225600624.

Almost surely, 2^{4028774400000} is an apocalyptic number.

4028774400000 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 4028774400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319213630000).

4028774400000 is an abundant number, since it is smaller than the sum of its proper divisors (12609652860000).

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

4028774400000 is an frugal number, since it uses more digits than its factorization.

4028774400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 4028774400000 in words is "four trillion, twenty-eight billion, seven hundred seventy-four million, four hundred thousand".