10401307939840 has 176 divisors, whose sum is σ = 26425526439312. Its totient is φ = 3914767794176.

The previous prime is 10401307939831. The next prime is 10401307939843. The reversal of 10401307939840 is 4893970310401.

It can be written as a sum of positive squares in 8 ways, for example, as 4033477755904 + 6367830183936 = 2008352^2 + 2523456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401307939843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391057422 + ... + 391084018.

It is an arithmetic number, because the mean of its divisors is an integer number (150145036587).

Almost surely, 2^{10401307939840} is an apocalyptic number.

10401307939840 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 10401307939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212763219656).

10401307939840 is an abundant number, since it is smaller than the sum of its proper divisors (16024218499472).

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

10401307939840 is a wasteful number, since it uses less digits than its factorization.

10401307939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31132 (or 31114 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 10401307939840 in words is "ten trillion, four hundred one billion, three hundred seven million, nine hundred thirty-nine thousand, eight hundred forty".