1023704267040 has 1152 divisors, whose sum is σ = 4374765158400. Its totient is φ = 212251705344.

The previous prime is 1023704267039. The next prime is 1023704267051. The reversal of 1023704267040 is 407624073201.

1023704267040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1023704266986 and 1023704267004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2279964736 + ... + 2279965184.

It is an arithmetic number, because the mean of its divisors is an integer number (3797539200).

Almost surely, 2^{1023704267040} is an apocalyptic number.

1023704267040 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 1023704267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187382579200).

1023704267040 is an abundant number, since it is smaller than the sum of its proper divisors (3351060891360).

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

1023704267040 is a wasteful number, since it uses less digits than its factorization.

1023704267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1023704267040 in words is "one trillion, twenty-three billion, seven hundred four million, two hundred sixty-seven thousand, forty".