438422498640 has 800 divisors, whose sum is σ = 1796389309440. Its totient is φ = 97005662208.

The previous prime is 438422498629. The next prime is 438422498651. The reversal of 438422498640 is 46894224834.

It is a happy number.

438422498640 is a `hidden beast` number, since 438 + 42 + 24 + 98 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (438422498629) and next prime (438422498651).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 401117934 + ... + 401119026.

Almost surely, 2^438422498640 is an apocalyptic number.

438422498640 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 438422498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898194654720).

438422498640 is an abundant number, since it is smaller than the sum of its proper divisors (1357966810800).

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

438422498640 is a wasteful number, since it uses less digits than its factorization.

438422498640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 438422498640 in words is "four hundred thirty-eight billion, four hundred twenty-two million, four hundred ninety-eight thousand, six hundred forty".