438053869890 has 384 divisors, whose sum is σ = 1474316992512. Its totient is φ = 87705192960.

The previous prime is 438053869873. The next prime is 438053869919. The reversal of 438053869890 is 98968350834.

438053869890 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 538 + 6 + 9 + 8 + 90 = 666.

It is a super-2 number, since 2×438053869890² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23913835 + ... + 23932145.

It is an arithmetic number, because the mean of its divisors is an integer number (3839367168).

Almost surely, 2^438053869890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438053869890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737158496256).

438053869890 is an abundant number, since it is smaller than the sum of its proper divisors (1036263122622).

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

438053869890 is a wasteful number, since it uses less digits than its factorization.

438053869890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18494 (or 18491 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 438053869890 in words is "four hundred thirty-eight billion, fifty-three million, eight hundred sixty-nine thousand, eight hundred ninety".