101440132400 has 240 divisors, whose sum is σ = 261106621440. Its totient is φ = 37797580800.

The previous prime is 101440132361. The next prime is 101440132457. The reversal of 101440132400 is 4231044101.

It is a super-2 number, since 2×101440132400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54507470 + ... + 54509330.

It is an arithmetic number, because the mean of its divisors is an integer number (1087944256).

Almost surely, 2^101440132400 is an apocalyptic number.

101440132400 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 101440132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130553310720).

101440132400 is an abundant number, since it is smaller than the sum of its proper divisors (159666489040).

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

101440132400 is a wasteful number, since it uses less digits than its factorization.

101440132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2061 counting only the distinct ones).

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

Adding to 101440132400 its reverse (4231044101), we get a palindrome (105671176501).

The spelling of 101440132400 in words is "one hundred one billion, four hundred forty million, one hundred thirty-two thousand, four hundred".