101404330400 has 72 divisors (see below), whose sum is σ = 248207238720. Its totient is φ = 40454588160.

The previous prime is 101404330393. The next prime is 101404330429. The reversal of 101404330400 is 4033404101.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135977 + ... + 470423.

It is an arithmetic number, because the mean of its divisors is an integer number (3447322760).

Almost surely, 2^101404330400 is an apocalyptic number.

101404330400 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 101404330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124103619360).

101404330400 is an abundant number, since it is smaller than the sum of its proper divisors (146802908320).

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

101404330400 is a wasteful number, since it uses less digits than its factorization.

101404330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334846 (or 334833 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101404330400 its reverse (4033404101), we get a palindrome (105437734501).

The spelling of 101404330400 in words is "one hundred one billion, four hundred four million, three hundred thirty thousand, four hundred".