101334421440 has 1344 divisors, whose sum is σ = 448617222144. Its totient is φ = 21244280832.

The previous prime is 101334421427. The next prime is 101334421523. The reversal of 101334421440 is 44124433101.

101334421440 is a `hidden beast` number, since 101 + 3 + 344 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434911564 + ... + 434911796.

It is an arithmetic number, because the mean of its divisors is an integer number (333792576).

Almost surely, 2^101334421440 is an apocalyptic number.

101334421440 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 101334421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224308611072).

101334421440 is an abundant number, since it is smaller than the sum of its proper divisors (347282800704).

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

101334421440 is a wasteful number, since it uses less digits than its factorization.

101334421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101334421440 its reverse (44124433101), we get a palindrome (145458854541).

The spelling of 101334421440 in words is "one hundred one billion, three hundred thirty-four million, four hundred twenty-one thousand, four hundred forty".