4591608521040 has 480 divisors, whose sum is σ = 15976848416256. Its totient is φ = 1181085696000.

The previous prime is 4591608521033. The next prime is 4591608521081. The reversal of 4591608521040 is 401258061954.

4591608521040 is a `hidden beast` number, since 4 + 591 + 6 + 0 + 8 + 5 + 2 + 10 + 40 = 666.

It is a super-2 number, since 2×4591608521040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823899694 + ... + 823905266.

Almost surely, 2^{4591608521040} is an apocalyptic number.

4591608521040 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 4591608521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988424208128).

4591608521040 is an abundant number, since it is smaller than the sum of its proper divisors (11385239895216).

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

4591608521040 is a wasteful number, since it uses less digits than its factorization.

4591608521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 4591608521040 in words is "four trillion, five hundred ninety-one billion, six hundred eight million, five hundred twenty-one thousand, forty".