10420361640 has 320 divisors, whose sum is σ = 38246115600. Its totient is φ = 2529128448.

The previous prime is 10420361639. The next prime is 10420361663. The reversal of 10420361640 is 4616302401.

10420361640 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 3 + 616 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5982403716 + 4437957924 = 77346^2 + 66618^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3073066 + ... + 3076454.

Almost surely, 2^10420361640 is an apocalyptic number.

10420361640 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 10420361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123057800).

10420361640 is an abundant number, since it is smaller than the sum of its proper divisors (27825753960).

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

10420361640 is a wasteful number, since it uses less digits than its factorization.

10420361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10420361640 in words is "ten billion, four hundred twenty million, three hundred sixty-one thousand, six hundred forty".