101540620440 has 768 divisors, whose sum is σ = 403479014400. Its totient is φ = 22643712000.

The previous prime is 101540620397. The next prime is 101540620469. The reversal of 101540620440 is 44026045101.

101540620440 is a `hidden beast` number, since 1 + 0 + 15 + 406 + 204 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 672454365 + ... + 672454515.

It is an arithmetic number, because the mean of its divisors is an integer number (525363300).

Almost surely, 2^101540620440 is an apocalyptic number.

101540620440 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 101540620440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201739507200).

101540620440 is an abundant number, since it is smaller than the sum of its proper divisors (301938393960).

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

101540620440 is a wasteful number, since it uses less digits than its factorization.

101540620440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101540620440 its reverse (44026045101), we get a palindrome (145566665541).

The spelling of 101540620440 in words is "one hundred one billion, five hundred forty million, six hundred twenty thousand, four hundred forty".