101304013440 has 256 divisors, whose sum is σ = 376001637120. Its totient is φ = 22718152704.

The previous prime is 101304013399. The next prime is 101304013483. The reversal of 101304013440 is 44310403101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641212 + ... + 783428.

It is an arithmetic number, because the mean of its divisors is an integer number (1468756395).

Almost surely, 2^101304013440 is an apocalyptic number.

101304013440 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 101304013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188000818560).

101304013440 is an abundant number, since it is smaller than the sum of its proper divisors (274697623680).

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

101304013440 is a wasteful number, since it uses less digits than its factorization.

101304013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142299 (or 142287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101304013440 its reverse (44310403101), we get a palindrome (145614416541).

The spelling of 101304013440 in words is "one hundred one billion, three hundred four million, thirteen thousand, four hundred forty".