438034533153840 has 1600 divisors, whose sum is σ = 1880867773424640. Its totient is φ = 92230267576320.

The previous prime is 438034533153719. The next prime is 438034533153863. The reversal of 438034533153840 is 48351335430834.

438034533153840 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 34 + 5 + 3 + 31 + 538 + 40 = 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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65466224895 + ... + 65466231585.

Almost surely, 2^{438034533153840} is an apocalyptic number.

438034533153840 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 438034533153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940433886712320).

438034533153840 is an abundant number, since it is smaller than the sum of its proper divisors (1442833240270800).

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

438034533153840 is a wasteful number, since it uses less digits than its factorization.

438034533153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 438034533153840 in words is "four hundred thirty-eight trillion, thirty-four billion, five hundred thirty-three million, one hundred fifty-three thousand, eight hundred forty".