10402000379424 has 768 divisors, whose sum is σ = 32875795814400. Its totient is φ = 3193285939200.

The previous prime is 10402000379411. The next prime is 10402000379479. The reversal of 10402000379424 is 42497300020401.

10402000379424 is a `hidden beast` number, since 1 + 0 + 40 + 200 + 0 + 379 + 42 + 4 = 666.

10402000379424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10402000379424² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10712667259 + ... + 10712668229.

It is an arithmetic number, because the mean of its divisors is an integer number (42807025800).

Almost surely, 2^{10402000379424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402000379424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437897907200).

10402000379424 is an abundant number, since it is smaller than the sum of its proper divisors (22473795434976).

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

10402000379424 is a wasteful number, since it uses less digits than its factorization.

10402000379424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10402000379424 its reverse (42497300020401), we get a palindrome (52899300399825).

The spelling of 10402000379424 in words is "ten trillion, four hundred two billion, three hundred seventy-nine thousand, four hundred twenty-four".