4575821640390 has 1152 divisors, whose sum is σ = 17407127162880. Its totient is φ = 849269836800.

The previous prime is 4575821640389. The next prime is 4575821640407. The reversal of 4575821640390 is 930461285754.

It is a happy number.

4575821640390 is a `hidden beast` number, since 4 + 5 + 7 + 582 + 16 + 40 + 3 + 9 + 0 = 666.

It is a super-2 number, since 2×4575821640390² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 527832976 + ... + 527841644.

It is an arithmetic number, because the mean of its divisors is an integer number (15110353440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4575821640390 = 9151643280780, but 3⋅4575821640390 = 13727464921170 is not.

Almost surely, 2^{4575821640390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4575821640390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703563581440).

4575821640390 is an abundant number, since it is smaller than the sum of its proper divisors (12831305522490).

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

4575821640390 is a wasteful number, since it uses less digits than its factorization.

4575821640390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4575821640390 in words is "four trillion, five hundred seventy-five billion, eight hundred twenty-one million, six hundred forty thousand, three hundred ninety".