1023123401040 has 160 divisors (see below), whose sum is σ = 3416957300736. Its totient is φ = 251749969920.

The previous prime is 1023123400997. The next prime is 1023123401057. The reversal of 1023123401040 is 401043213201.

It is a junction number, because it is equal to n+sod(n) for n = 1023123400998 and 1023123401016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8322420 + ... + 8444460.

Almost surely, 2^{1023123401040} is an apocalyptic number.

1023123401040 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 1023123401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708478650368).

1023123401040 is an abundant number, since it is smaller than the sum of its proper divisors (2393833899696).

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

1023123401040 is a wasteful number, since it uses less digits than its factorization.

1023123401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124757 (or 124751 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1023123401040 its reverse (401043213201), we get a palindrome (1424166614241).

The spelling of 1023123401040 in words is "one trillion, twenty-three billion, one hundred twenty-three million, four hundred one thousand, forty".