4640083090440 has 256 divisors, whose sum is σ = 16281781401600. Its totient is φ = 1035737708544.

The previous prime is 4640083090411. The next prime is 4640083090457. The reversal of 4640083090440 is 440903800464.

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 = 4640083090392 and 4640083090401.

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, 323953119 + ... + 323967441.

It is an arithmetic number, because the mean of its divisors is an integer number (63600708600).

Almost surely, 2^{4640083090440} is an apocalyptic number.

4640083090440 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 4640083090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140890700800).

4640083090440 is an abundant number, since it is smaller than the sum of its proper divisors (11641698311160).

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

4640083090440 is a wasteful number, since it uses less digits than its factorization.

4640083090440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23356 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 4640083090440 in words is "four trillion, six hundred forty billion, eighty-three million, ninety thousand, four hundred forty".