101400321440 has 96 divisors (see below), whose sum is σ = 263001561984. Its totient is φ = 36637885440.

The previous prime is 101400321431. The next prime is 101400321499. The reversal of 101400321440 is 44123004101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92837 + ... + 459803.

It is an arithmetic number, because the mean of its divisors is an integer number (2739599604).

Almost surely, 2^101400321440 is an apocalyptic number.

101400321440 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 101400321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131500780992).

101400321440 is an abundant number, since it is smaller than the sum of its proper divisors (161601240544).

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

101400321440 is a wasteful number, since it uses less digits than its factorization.

101400321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367150 (or 367142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101400321440 its reverse (44123004101), we get a palindrome (145523325541).

The spelling of 101400321440 in words is "one hundred one billion, four hundred million, three hundred twenty-one thousand, four hundred forty".