10420930713600 has 1440 divisors, whose sum is σ = 43563167247600. Its totient is φ = 2438863257600.

The previous prime is 10420930713577. The next prime is 10420930713623. The reversal of 10420930713600 is 631703902401.

10420930713600 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 9 + 30 + 7 + 13 + 600 = 666.

10420930713600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10420930713577) and next prime (10420930713623).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×10420930713600³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1322952862 + ... + 1322960738.

Almost surely, 2^{10420930713600} is an apocalyptic number.

10420930713600 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 10420930713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781583623800).

10420930713600 is an abundant number, since it is smaller than the sum of its proper divisors (33142236534000).

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

10420930713600 is a wasteful number, since it uses less digits than its factorization.

10420930713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10420930713600 in words is "ten trillion, four hundred twenty billion, nine hundred thirty million, seven hundred thirteen thousand, six hundred".