10123022701440 has 768 divisors, whose sum is σ = 39670196428800. Its totient is φ = 2437737984000.

The previous prime is 10123022701409. The next prime is 10123022701459. The reversal of 10123022701440 is 4410722032101.

10123022701440 is a `hidden beast` number, since 10 + 123 + 0 + 22 + 70 + 1 + 440 = 666.

It is a super-2 number, since 2×10123022701440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315706849 + ... + 315738911.

It is an arithmetic number, because the mean of its divisors is an integer number (51653901600).

Almost surely, 2^{10123022701440} is an apocalyptic number.

10123022701440 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 10123022701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835098214400).

10123022701440 is an abundant number, since it is smaller than the sum of its proper divisors (29547173727360).

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

10123022701440 is a wasteful number, since it uses less digits than its factorization.

10123022701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32264 (or 32235 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10123022701440 its reverse (4410722032101), we get a palindrome (14533744733541).

The spelling of 10123022701440 in words is "ten trillion, one hundred twenty-three billion, twenty-two million, seven hundred one thousand, four hundred forty".