438123251040 has 48 divisors (see below), whose sum is σ = 1380088242288. Its totient is φ = 116832866816.

The previous prime is 438123251021. The next prime is 438123251057. The reversal of 438123251040 is 40152321834.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×438123251040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438123250992 and 438123251010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456377907 + ... + 456378866.

It is an arithmetic number, because the mean of its divisors is an integer number (28751838381).

Almost surely, 2^438123251040 is an apocalyptic number.

438123251040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438123251040 is an abundant number, since it is smaller than the sum of its proper divisors (941964991248).

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

438123251040 is a wasteful number, since it uses less digits than its factorization.

438123251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912756791 (or 912756783 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 438123251040 its reverse (40152321834), we get a palindrome (478275572874).

The spelling of 438123251040 in words is "four hundred thirty-eight billion, one hundred twenty-three million, two hundred fifty-one thousand, forty".