1003225415040 has 192 divisors, whose sum is σ = 3469889741760. Its totient is φ = 267092238336.

The previous prime is 1003225415021. The next prime is 1003225415051. The reversal of 1003225415040 is 405145223001.

1003225415040 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 2 + 541 + 50 + 40 = 666.

1003225415040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1003225415040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003225414995 and 1003225415013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412777 + ... + 3695063.

It is an arithmetic number, because the mean of its divisors is an integer number (18072342405).

Almost surely, 2^{1003225415040} is an apocalyptic number.

1003225415040 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 1003225415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734944870880).

1003225415040 is an abundant number, since it is smaller than the sum of its proper divisors (2466664326720).

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

1003225415040 is a wasteful number, since it uses less digits than its factorization.

1003225415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282929 (or 282914 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1003225415040 in words is "one trillion, three billion, two hundred twenty-five million, four hundred fifteen thousand, forty".