10234319227440 has 480 divisors, whose sum is σ = 40508041986048. Its totient is φ = 2091746764800.

The previous prime is 10234319227421. The next prime is 10234319227487. The reversal of 10234319227440 is 4472291343201.

10234319227440 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 10234319227392 and 10234319227401.

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, 11987409 + ... + 12812751.

Almost surely, 2^{10234319227440} is an apocalyptic number.

10234319227440 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 10234319227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254020993024).

10234319227440 is an abundant number, since it is smaller than the sum of its proper divisors (30273722758608).

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

10234319227440 is a wasteful number, since it uses less digits than its factorization.

10234319227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825449 (or 825432 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 10234319227440 in words is "ten trillion, two hundred thirty-four billion, three hundred nineteen million, two hundred twenty-seven thousand, four hundred forty".