10450388340 has 240 divisors, whose sum is σ = 37544677632. Its totient is φ = 2383686144.

The previous prime is 10450388339. The next prime is 10450388357. The reversal of 10450388340 is 4388305401.

10450388340 is a `hidden beast` number, since 104 + 503 + 8 + 8 + 3 + 40 = 666.

10450388340 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 junction number, because it is equal to n+sod(n) for n = 10450388295 and 10450388304.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 10806537 + ... + 10807503.

Almost surely, 2^10450388340 is an apocalyptic number.

10450388340 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 10450388340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772338816).

10450388340 is an abundant number, since it is smaller than the sum of its proper divisors (27094289292).

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

10450388340 is a wasteful number, since it uses less digits than its factorization.

10450388340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10450388340 in words is "ten billion, four hundred fifty million, three hundred eighty-eight thousand, three hundred forty".