4426462006240 has 96 divisors (see below), whose sum is σ = 10576331650080. Its totient is φ = 1750472908800.

The previous prime is 4426462006223. The next prime is 4426462006271. The reversal of 4426462006240 is 426002646244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4426462006193 and 4426462006202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162479020 + ... + 162506260.

It is an arithmetic number, because the mean of its divisors is an integer number (110170121355).

Almost surely, 2^{4426462006240} is an apocalyptic number.

4426462006240 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 4426462006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288165825040).

4426462006240 is an abundant number, since it is smaller than the sum of its proper divisors (6149869643840).

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

4426462006240 is a wasteful number, since it uses less digits than its factorization.

4426462006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38756 (or 38748 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 4426462006240 in words is "four trillion, four hundred twenty-six billion, four hundred sixty-two million, six thousand, two hundred forty".