4019152553328 has 320 divisors, whose sum is σ = 12065827737600. Its totient is φ = 1140037908480.

The previous prime is 4019152553323. The next prime is 4019152553341. The reversal of 4019152553328 is 8233552519104.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019152553321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482545068 + ... + 482553396.

It is an arithmetic number, because the mean of its divisors is an integer number (37705711680).

Almost surely, 2^{4019152553328} is an apocalyptic number.

4019152553328 is a gapful number since it is divisible by the number (48) 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 4019152553328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032913868800).

4019152553328 is an abundant number, since it is smaller than the sum of its proper divisors (8046675184272).

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

4019152553328 is a wasteful number, since it uses less digits than its factorization.

4019152553328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 4019152553328 in words is "four trillion, nineteen billion, one hundred fifty-two million, five hundred fifty-three thousand, three hundred twenty-eight".