1023225413040 has 160 divisors (see below), whose sum is σ = 3572723682240. Its totient is φ = 269122258944.

The previous prime is 1023225413027. The next prime is 1023225413069. The reversal of 1023225413040 is 403145223201.

1023225413040 is a `hidden beast` number, since 1 + 0 + 23 + 225 + 413 + 0 + 4 + 0 = 666.

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 = 1023225412995 and 1023225413013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086947 + ... + 3402306.

It is an arithmetic number, because the mean of its divisors is an integer number (22329523014).

Almost surely, 2^{1023225413040} is an apocalyptic number.

1023225413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023225413040 is an abundant number, since it is smaller than the sum of its proper divisors (2549498269200).

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

1023225413040 is a wasteful number, since it uses less digits than its factorization.

1023225413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489348 (or 6489336 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1023225413040 in words is "one trillion, twenty-three billion, two hundred twenty-five million, four hundred thirteen thousand, forty".