10201441464900 has 864 divisors, whose sum is σ = 37401043680000. Its totient is φ = 2277942497280.

The previous prime is 10201441464889. The next prime is 10201441464913. The reversal of 10201441464900 is 946414410201.

It is a happy number.

10201441464900 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 4 + 4 + 1 + 4 + 649 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 18314975422 + ... + 18314975978.

It is an arithmetic number, because the mean of its divisors is an integer number (43288245000).

Almost surely, 2^{10201441464900} is an apocalyptic number.

10201441464900 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 10201441464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18700521840000).

10201441464900 is an abundant number, since it is smaller than the sum of its proper divisors (27199602215100).

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

10201441464900 is a wasteful number, since it uses less digits than its factorization.

10201441464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10201441464900 in words is "ten trillion, two hundred one billion, four hundred forty-one million, four hundred sixty-four thousand, nine hundred".