101410827312480 has 384 divisors, whose sum is σ = 378246436356096. Its totient is φ = 22349107353600.

The previous prime is 101410827312451. The next prime is 101410827312491. The reversal of 101410827312480 is 84213728014101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26431039 + ... + 30023681.

It is an arithmetic number, because the mean of its divisors is an integer number (985016761344).

Almost surely, 2^{101410827312480} is an apocalyptic number.

101410827312480 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 101410827312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189123218178048).

101410827312480 is an abundant number, since it is smaller than the sum of its proper divisors (276835609043616).

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

101410827312480 is a wasteful number, since it uses less digits than its factorization.

101410827312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592970 (or 3592962 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 101410827312480 in words is "one hundred one trillion, four hundred ten billion, eight hundred twenty-seven million, three hundred twelve thousand, four hundred eighty".