10401024775680 has 3200 divisors, whose sum is σ = 48272280376320. Its totient is φ = 2078244864000.

The previous prime is 10401024775649. The next prime is 10401024775711. The reversal of 10401024775680 is 8657742010401.

10401024775680 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 10 + 2 + 4 + 77 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10401024775649) and next prime (10401024775711).

It is a super-4 number, since 4×10401024775680⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 57464225190 + ... + 57464225370.

Almost surely, 2^{10401024775680} is an apocalyptic number.

10401024775680 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 10401024775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24136140188160).

10401024775680 is an abundant number, since it is smaller than the sum of its proper divisors (37871255600640).

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

10401024775680 is a wasteful number, since it uses less digits than its factorization.

10401024775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10401024775680 in words is "ten trillion, four hundred one billion, twenty-four million, seven hundred seventy-five thousand, six hundred eighty".