101240484480 has 384 divisors, whose sum is σ = 365492275200. Its totient is φ = 25792266240.

The previous prime is 101240484427. The next prime is 101240484491. The reversal of 101240484480 is 84484042101.

101240484480 is a `hidden beast` number, since 10 + 124 + 0 + 48 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 14102652 + ... + 14109828.

It is an arithmetic number, because the mean of its divisors is an integer number (951802800).

Almost surely, 2^101240484480 is an apocalyptic number.

101240484480 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 101240484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182746137600).

101240484480 is an abundant number, since it is smaller than the sum of its proper divisors (264251790720).

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

101240484480 is a wasteful number, since it uses less digits than its factorization.

101240484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 101240484480 in words is "one hundred one billion, two hundred forty million, four hundred eighty-four thousand, four hundred eighty".