101424781440 has 96 divisors (see below), whose sum is σ = 350232468300. Its totient is φ = 27046606848.

The previous prime is 101424781427. The next prime is 101424781441. The reversal of 101424781440 is 44187424101.

101424781440 is a `hidden beast` number, since 1 + 0 + 1 + 42 + 478 + 144 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97658750016 + 3766031424 = 312504^2 + 61368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 101424781395 and 101424781404.

It is not an unprimeable number, because it can be changed into a prime (101424781441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8798475 + ... + 8809994.

Almost surely, 2^101424781440 is an apocalyptic number.

101424781440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101424781440 is an abundant number, since it is smaller than the sum of its proper divisors (248807686860).

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

101424781440 is a wasteful number, since it uses less digits than its factorization.

101424781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17608494 (or 17608479 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 101424781440 in words is "one hundred one billion, four hundred twenty-four million, seven hundred eighty-one thousand, four hundred forty".