438157970040960 has 2048 divisors, whose sum is σ = 1769553838080000. Its totient is φ = 101649270767616.

The previous prime is 438157970040929. The next prime is 438157970040991. The reversal of 438157970040960 is 69040079751834.

438157970040960 is a `hidden beast` number, since 4 + 3 + 8 + 157 + 9 + 70 + 0 + 409 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (438157970040929) and next prime (438157970040991).

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 255 ways as a sum of consecutive naturals, for example, 293474861974 + ... + 293474863466.

It is an arithmetic number, because the mean of its divisors is an integer number (864039960000).

Almost surely, 2^{438157970040960} is an apocalyptic number.

438157970040960 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 438157970040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884776919040000).

438157970040960 is an abundant number, since it is smaller than the sum of its proper divisors (1331395868039040).

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

438157970040960 is a wasteful number, since it uses less digits than its factorization.

438157970040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 438157970040960 in words is "four hundred thirty-eight trillion, one hundred fifty-seven billion, nine hundred seventy million, forty thousand, nine hundred sixty".