1023671103840 has 288 divisors, whose sum is σ = 4355255713536. Its totient is φ = 212710855680.

The previous prime is 1023671103803. The next prime is 1023671103893. The reversal of 1023671103840 is 483011763201.

It is a happy number.

1023671103840 is a `hidden beast` number, since 102 + 3 + 67 + 110 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1023671103795 and 1023671103804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4505242 + ... + 4727001.

It is an arithmetic number, because the mean of its divisors is an integer number (15122415672).

Almost surely, 2^{1023671103840} is an apocalyptic number.

1023671103840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023671103840 is an abundant number, since it is smaller than the sum of its proper divisors (3331584609696).

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

1023671103840 is a wasteful number, since it uses less digits than its factorization.

1023671103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232282 (or 9232271 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1023671103840 in words is "one trillion, twenty-three billion, six hundred seventy-one million, one hundred three thousand, eight hundred forty".