10420696440 has 768 divisors, whose sum is σ = 45152640000. Its totient is φ = 2076641280.

The previous prime is 10420696423. The next prime is 10420696441. The reversal of 10420696440 is 4469602401.

10420696440 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 6 + 9 + 644 + 0 = 666.

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 = 10420696395 and 10420696404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420696441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69937486 + ... + 69937634.

It is an arithmetic number, because the mean of its divisors is an integer number (58792500).

Almost surely, 2^10420696440 is an apocalyptic number.

10420696440 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 10420696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22576320000).

10420696440 is an abundant number, since it is smaller than the sum of its proper divisors (34731943560).

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

10420696440 is a wasteful number, since it uses less digits than its factorization.

10420696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10420696440 in words is "ten billion, four hundred twenty million, six hundred ninety-six thousand, four hundred forty".