438977780640 has 384 divisors, whose sum is σ = 1757004480000. Its totient is φ = 100275314688.

The previous prime is 438977780629. The next prime is 438977780651. The reversal of 438977780640 is 46087779834.

438977780640 is a `hidden beast` number, since 438 + 9 + 77 + 78 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (438977780629) and next prime (438977780651).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63167886 + ... + 63174834.

It is an arithmetic number, because the mean of its divisors is an integer number (4575532500).

Almost surely, 2^438977780640 is an apocalyptic number.

438977780640 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 438977780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878502240000).

438977780640 is an abundant number, since it is smaller than the sum of its proper divisors (1318026699360).

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

438977780640 is a wasteful number, since it uses less digits than its factorization.

438977780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 438977780640 in words is "four hundred thirty-eight billion, nine hundred seventy-seven million, seven hundred eighty thousand, six hundred forty".