10410200640 has 336 divisors, whose sum is σ = 41698395648. Its totient is φ = 2334339072.

The previous prime is 10410200639. The next prime is 10410200663. The reversal of 10410200640 is 4600201401.

10410200640 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 0 + 20 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063609 + ... + 1073351.

It is an arithmetic number, because the mean of its divisors is an integer number (124102368).

Almost surely, 2^10410200640 is an apocalyptic number.

10410200640 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 10410200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849197824).

10410200640 is an abundant number, since it is smaller than the sum of its proper divisors (31288195008).

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

10410200640 is a wasteful number, since it uses less digits than its factorization.

10410200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9813 counting only the distinct ones).

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

The spelling of 10410200640 in words is "ten billion, four hundred ten million, two hundred thousand, six hundred forty".