4634220449040 has 320 divisors, whose sum is σ = 18014947969536. Its totient is φ = 959320866816.

The previous prime is 4634220448937. The next prime is 4634220449041. The reversal of 4634220449040 is 409440224364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4634220448983 and 4634220449001.

It is not an unprimeable number, because it can be changed into a prime (4634220449041) 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, 844269 + ... + 3159308.

Almost surely, 2^{4634220449040} is an apocalyptic number.

4634220449040 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 4634220449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007473984768).

4634220449040 is an abundant number, since it is smaller than the sum of its proper divisors (13380727520496).

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

4634220449040 is a wasteful number, since it uses less digits than its factorization.

4634220449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003666 (or 4003660 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 4634220449040 in words is "four trillion, six hundred thirty-four billion, two hundred twenty million, four hundred forty-nine thousand, forty".