38403440640 has 432 divisors, whose sum is σ = 141330728448. Its totient is φ = 9613344768.

The previous prime is 38403440639. The next prime is 38403440651. The reversal of 38403440640 is 4604430483.

38403440640 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 3 + 4 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38403440595 and 38403440604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100269889 + ... + 100270271.

It is an arithmetic number, because the mean of its divisors is an integer number (327154464).

Almost surely, 2^38403440640 is an apocalyptic number.

38403440640 is a gapful number since it is divisible by the number (30) 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 38403440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70665364224).

38403440640 is an abundant number, since it is smaller than the sum of its proper divisors (102927287808).

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

38403440640 is an equidigital number, since it uses as much as digits as its factorization.

38403440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 38403440640 in words is "thirty-eight billion, four hundred three million, four hundred forty thousand, six hundred forty".