438357104640 has 2304 divisors, whose sum is σ = 2070484416000. Its totient is φ = 86951854080.

The previous prime is 438357104609. The next prime is 438357104657. The reversal of 438357104640 is 46401753834.

438357104640 is a `hidden beast` number, since 4 + 38 + 3 + 571 + 0 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3346237375 + ... + 3346237505.

It is an arithmetic number, because the mean of its divisors is an integer number (898647750).

Almost surely, 2^438357104640 is an apocalyptic number.

438357104640 is a gapful number since it is divisible by the number (40) 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 438357104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035242208000).

438357104640 is an abundant number, since it is smaller than the sum of its proper divisors (1632127311360).

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

438357104640 is a wasteful number, since it uses less digits than its factorization.

438357104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 438357104640 in words is "four hundred thirty-eight billion, three hundred fifty-seven million, one hundred four thousand, six hundred forty".