1020003424440 has 2048 divisors, whose sum is σ = 4553824665600. Its totient is φ = 175814737920.

The previous prime is 1020003424399. The next prime is 1020003424469. The reversal of 1020003424440 is 444243000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020003424440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3968884792 + ... + 3968885048.

It is an arithmetic number, because the mean of its divisors is an integer number (2223547200).

Almost surely, 2^{1020003424440} is an apocalyptic number.

1020003424440 is a gapful number since it is divisible by the number (10) 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 1020003424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276912332800).

1020003424440 is an abundant number, since it is smaller than the sum of its proper divisors (3533821241160).

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

1020003424440 is a wasteful number, since it uses less digits than its factorization.

1020003424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1020003424440 its reverse (444243000201), we get a palindrome (1464246424641).

The spelling of 1020003424440 in words is "one trillion, twenty billion, three million, four hundred twenty-four thousand, four hundred forty".