819057234240 has 1344 divisors, whose sum is σ = 3460737726720. Its totient is φ = 181753528320.

The previous prime is 819057234181. The next prime is 819057234241. The reversal of 819057234240 is 42432750918.

819057234240 is a `hidden beast` number, since 8 + 1 + 9 + 0 + 572 + 34 + 2 + 40 = 666.

819057234240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819057234241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3881787735 + ... + 3881787945.

Almost surely, 2^819057234240 is an apocalyptic number.

819057234240 is a gapful number since it is divisible by the number (80) 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 819057234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730368863360).

819057234240 is an abundant number, since it is smaller than the sum of its proper divisors (2641680492480).

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

819057234240 is a wasteful number, since it uses less digits than its factorization.

819057234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 819057234240 in words is "eight hundred nineteen billion, fifty-seven million, two hundred thirty-four thousand, two hundred forty".