10301023040000 has 600 divisors, whose sum is σ = 32638610089008. Its totient is φ = 3210654720000.

The previous prime is 10301023039963. The next prime is 10301023040051. The reversal of 10301023040000 is 4032010301.

It is a super-2 number, since 2×10301023040000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 172450139 + ... + 172509861.

Almost surely, 2^{10301023040000} is an apocalyptic number.

10301023040000 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 10301023040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319305044504).

10301023040000 is an abundant number, since it is smaller than the sum of its proper divisors (22337587049008).

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

10301023040000 is an frugal number, since it uses more digits than its factorization.

10301023040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59786 (or 59748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10301023040000 its reverse (4032010301), we get a palindrome (10305055050301).

The spelling of 10301023040000 in words is "ten trillion, three hundred one billion, twenty-three million, forty thousand".