438013097100 has 1440 divisors, whose sum is σ = 1715065228800. Its totient is φ = 95800320000.

The previous prime is 438013097089. The next prime is 438013097107. The reversal of 438013097100 is 1790310834.

It is a happy number.

438013097100 is a `hidden beast` number, since 438 + 0 + 1 + 30 + 97 + 100 = 666.

It is a super-2 number, since 2×438013097100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (438013097107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1745071975 + ... + 1745072225.

It is an arithmetic number, because the mean of its divisors is an integer number (1191017520).

Almost surely, 2^438013097100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438013097100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857532614400).

438013097100 is an abundant number, since it is smaller than the sum of its proper divisors (1277052131700).

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

438013097100 is a wasteful number, since it uses less digits than its factorization.

438013097100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 438013097100 in words is "four hundred thirty-eight billion, thirteen million, ninety-seven thousand, one hundred".