10101024743040 has 1024 divisors, whose sum is σ = 46040887296000. Its totient is φ = 2031199027200.

The previous prime is 10101024743011. The next prime is 10101024743041. The reversal of 10101024743040 is 4034742010101.

10101024743040 is a `hidden beast` number, since 10 + 10 + 102 + 474 + 30 + 40 = 666.

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 = 10101024742995 and 10101024743013.

It is not an unprimeable number, because it can be changed into a prime (10101024743041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41124916 + ... + 41369804.

It is an arithmetic number, because the mean of its divisors is an integer number (44961804000).

Almost surely, 2^{10101024743040} is an apocalyptic number.

10101024743040 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 10101024743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23020443648000).

10101024743040 is an abundant number, since it is smaller than the sum of its proper divisors (35939862552960).

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

10101024743040 is a wasteful number, since it uses less digits than its factorization.

10101024743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244966 (or 244948 counting only the distinct ones).

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

Adding to 10101024743040 its reverse (4034742010101), we get a palindrome (14135766753141).

The spelling of 10101024743040 in words is "ten trillion, one hundred one billion, twenty-four million, seven hundred forty-three thousand, forty".