438100436280 has 128 divisors (see below), whose sum is σ = 1435337003520. Its totient is φ = 106321205760.

The previous prime is 438100436203. The next prime is 438100436303. The reversal of 438100436280 is 82634001834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866942 + ... + 2088461.

It is an arithmetic number, because the mean of its divisors is an integer number (11213570340).

Almost surely, 2^438100436280 is an apocalyptic number.

438100436280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438100436280 is an abundant number, since it is smaller than the sum of its proper divisors (997236567240).

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

438100436280 is a wasteful number, since it uses less digits than its factorization.

438100436280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955501 (or 3955497 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 438100436280 in words is "four hundred thirty-eight billion, one hundred million, four hundred thirty-six thousand, two hundred eighty".