101424681540 has 576 divisors, whose sum is σ = 390320985600. Its totient is φ = 21181547520.

The previous prime is 101424681521. The next prime is 101424681557. The reversal of 101424681540 is 45186424101.

101424681540 is a `hidden beast` number, since 1 + 0 + 1 + 42 + 468 + 154 + 0 = 666.

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 = 101424681495 and 101424681504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85879750 + ... + 85880930.

It is an arithmetic number, because the mean of its divisors is an integer number (677640600).

Almost surely, 2^101424681540 is an apocalyptic number.

101424681540 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 101424681540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195160492800).

101424681540 is an abundant number, since it is smaller than the sum of its proper divisors (288896304060).

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

101424681540 is a wasteful number, since it uses less digits than its factorization.

101424681540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 101424681540 in words is "one hundred one billion, four hundred twenty-four million, six hundred eighty-one thousand, five hundred forty".