4638396147840 has 512 divisors, whose sum is σ = 20218656729600. Its totient is φ = 978650284032.

The previous prime is 4638396147829. The next prime is 4638396147919. The reversal of 4638396147840 is 487416938364.

It is a happy number.

4638396147840 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 3 + 9 + 614 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×4638396147840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97614 + ... + 3047346.

It is an arithmetic number, because the mean of its divisors is an integer number (39489563925).

Almost surely, 2^{4638396147840} is an apocalyptic number.

4638396147840 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 4638396147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109328364800).

4638396147840 is an abundant number, since it is smaller than the sum of its proper divisors (15580260581760).

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

4638396147840 is a wasteful number, since it uses less digits than its factorization.

4638396147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949781 (or 2949763 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4638396147840 in words is "four trillion, six hundred thirty-eight billion, three hundred ninety-six million, one hundred forty-seven thousand, eight hundred forty".