1003220951040 has 3024 divisors, whose sum is σ = 4882531648176. Its totient is φ = 196199055360.

The previous prime is 1003220951027. The next prime is 1003220951063. The reversal of 1003220951040 is 401590223001.

1003220951040 is a `hidden beast` number, since 100 + 3 + 2 + 2 + 0 + 9 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1003220950995 and 1003220951013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 59012997112 + ... + 59012997128.

It is an arithmetic number, because the mean of its divisors is an integer number (1614593799).

Almost surely, 2^{1003220951040} is an apocalyptic number.

1003220951040 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 1003220951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441265824088).

1003220951040 is an abundant number, since it is smaller than the sum of its proper divisors (3879310697136).

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

1003220951040 is an equidigital number, since it uses as much as digits as its factorization.

1003220951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1003220951040 in words is "one trillion, three billion, two hundred twenty million, nine hundred fifty-one thousand, forty".