438135287040 has 432 divisors, whose sum is σ = 1658393807616. Its totient is φ = 105913958400.

The previous prime is 438135287027. The next prime is 438135287071. The reversal of 438135287040 is 40782531834.

438135287040 is a `hidden beast` number, since 4 + 3 + 8 + 13 + 528 + 70 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 46501530 + ... + 46510950.

Almost surely, 2^438135287040 is an apocalyptic number.

438135287040 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 438135287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829196903808).

438135287040 is an abundant number, since it is smaller than the sum of its proper divisors (1220258520576).

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

438135287040 is a wasteful number, since it uses less digits than its factorization.

438135287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 438135287040 in words is "four hundred thirty-eight billion, one hundred thirty-five million, two hundred eighty-seven thousand, forty".