10023040000 has 110 divisors (see below), whose sum is σ = 25038949034. Its totient is φ = 4008960000.

The previous prime is 10023039977. The next prime is 10023040057. The reversal of 10023040000 is 4032001.

It can be written as a sum of positive squares in 5 ways, for example, as 1063281664 + 8959758336 = 32608^2 + 94656^2 .

It is a super-2 number, since 2×10023040000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 632170 + ... + 647830.

Almost surely, 2^10023040000 is an apocalyptic number.

10023040000 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 10023040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519474517).

10023040000 is an abundant number, since it is smaller than the sum of its proper divisors (15015909034).

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

10023040000 is an frugal number, since it uses more digits than its factorization.

10023040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15701 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10023040000 its reverse (4032001), we get a palindrome (10027072001).

It can be divided in two parts, 100 and 23040000, that multiplied together give a square (2304000000 = 48000²).

The spelling of 10023040000 in words is "ten billion, twenty-three million, forty thousand".