10402041600 has 432 divisors, whose sum is σ = 40398351840. Its totient is φ = 2609971200.

The previous prime is 10402041589. The next prime is 10402041619. The reversal of 10402041600 is 614020401.

10402041600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 20 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2935830 + ... + 2939370.

Almost surely, 2^10402041600 is an apocalyptic number.

10402041600 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 10402041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20199175920).

10402041600 is an abundant number, since it is smaller than the sum of its proper divisors (29996310240).

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

10402041600 is a wasteful number, since it uses less digits than its factorization.

10402041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10402041600 in words is "ten billion, four hundred two million, forty-one thousand, six hundred".