10377831420 has 144 divisors (see below), whose sum is σ = 34989488352. Its totient is φ = 2468344320.

The previous prime is 10377831391. The next prime is 10377831427. The reversal of 10377831420 is 2413877301.

10377831420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10377831427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55494 + ... + 154386.

It is an arithmetic number, because the mean of its divisors is an integer number (242982558).

Almost surely, 2^10377831420 is an apocalyptic number.

10377831420 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 10377831420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494744176).

10377831420 is an abundant number, since it is smaller than the sum of its proper divisors (24611656932).

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

10377831420 is a wasteful number, since it uses less digits than its factorization.

10377831420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98972 (or 98967 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10377831420 in words is "ten billion, three hundred seventy-seven million, eight hundred thirty-one thousand, four hundred twenty".