638118098150400 has 3168 divisors, whose sum is σ = 2787928772745600. Its totient is φ = 142567597670400.

The previous prime is 638118098150369. The next prime is 638118098150441. The reversal of 638118098150400 is 4051890811836.

It is a happy number.

638118098150400 is a `hidden beast` number, since 6 + 3 + 8 + 1 + 1 + 80 + 9 + 8 + 150 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 393657061590 + ... + 393657063210.

It is an arithmetic number, because the mean of its divisors is an integer number (880028021700).

Almost surely, 2^{638118098150400} is an apocalyptic number.

638118098150400 is a gapful number since it is divisible by the number (60) 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 638118098150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393964386372800).

638118098150400 is an abundant number, since it is smaller than the sum of its proper divisors (2149810674595200).

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

638118098150400 is a wasteful number, since it uses less digits than its factorization.

638118098150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 638118098150400 in words is "six hundred thirty-eight trillion, one hundred eighteen billion, ninety-eight million, one hundred fifty thousand, four hundred".