10407201861600 has 1728 divisors, whose sum is σ = 42841195488000. Its totient is φ = 2449820712960.

The previous prime is 10407201861499. The next prime is 10407201861611. The reversal of 10407201861600 is 616810270401.

It is a happy number.

10407201861600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 20 + 18 + 616 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 6718657626 + ... + 6718659174.

It is an arithmetic number, because the mean of its divisors is an integer number (24792358500).

Almost surely, 2^{10407201861600} is an apocalyptic number.

10407201861600 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 10407201861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420597744000).

10407201861600 is an abundant number, since it is smaller than the sum of its proper divisors (32433993626400).

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

10407201861600 is a wasteful number, since it uses less digits than its factorization.

10407201861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10407201861600 in words is "ten trillion, four hundred seven billion, two hundred one million, eight hundred sixty-one thousand, six hundred".