101410366464 has 792 divisors, whose sum is σ = 350355742464. Its totient is φ = 27979776000.

The previous prime is 101410366451. The next prime is 101410366469. The reversal of 101410366464 is 464663014101.

101410366464 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 0 + 3 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (101410366469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1662464994 + ... + 1662465054.

Almost surely, 2^101410366464 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 101410366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175177871232).

101410366464 is an abundant number, since it is smaller than the sum of its proper divisors (248945376000).

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

101410366464 is a wasteful number, since it uses less digits than its factorization.

101410366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 101410366464 in words is "one hundred one billion, four hundred ten million, three hundred sixty-six thousand, four hundred sixty-four".