4462441003440 has 400 divisors, whose sum is σ = 18074316532800. Its totient is φ = 1019986007040.

The previous prime is 4462441003409. The next prime is 4462441003457. The reversal of 4462441003440 is 443001442644.

4462441003440 is a `hidden beast` number, since 446 + 2 + 44 + 100 + 34 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4462441003395 and 4462441003404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1218780 + ... + 3226500.

It is an arithmetic number, because the mean of its divisors is an integer number (45185791332).

Almost surely, 2^{4462441003440} is an apocalyptic number.

4462441003440 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 4462441003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037158266400).

4462441003440 is an abundant number, since it is smaller than the sum of its proper divisors (13611875529360).

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

4462441003440 is a wasteful number, since it uses less digits than its factorization.

4462441003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007767 (or 2007738 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4462441003440 in words is "four trillion, four hundred sixty-two billion, four hundred forty-one million, three thousand, four hundred forty".