10723415040 has 924 divisors, whose sum is σ = 44219400444. Its totient is φ = 2484338688.

The previous prime is 10723415033. The next prime is 10723415071. The reversal of 10723415040 is 4051432701.

It can be written as a sum of positive squares in 6 ways, for example, as 1021953024 + 9701462016 = 31968^2 + 98496^2 .

It is a super-2 number, since 2×10723415040² (a number of 21 digits) contains 22 as substring.

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 = 10723414995 and 10723415013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 630789112 + ... + 630789128.

Almost surely, 2^10723415040 is an apocalyptic number.

10723415040 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 10723415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109700222).

10723415040 is an abundant number, since it is smaller than the sum of its proper divisors (33495985404).

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

10723415040 is an equidigital number, since it uses as much as digits as its factorization.

10723415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10723415040 its reverse (4051432701), we get a palindrome (14774847741).

The spelling of 10723415040 in words is "ten billion, seven hundred twenty-three million, four hundred fifteen thousand, forty".