38400503639040 has 1760 divisors, whose sum is σ = 146712626970624. Its totient is φ = 9589228830720.

The previous prime is 38400503638963. The next prime is 38400503639051. The reversal of 38400503639040 is 4093630500483.

38400503639040 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 0 + 5 + 0 + 3 + 639 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×38400503639040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62237444812 + ... + 62237445428.

Almost surely, 2^{38400503639040} is an apocalyptic number.

38400503639040 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 38400503639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73356313485312).

38400503639040 is an abundant number, since it is smaller than the sum of its proper divisors (108312123331584).

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

38400503639040 is a wasteful number, since it uses less digits than its factorization.

38400503639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 38400503639040 in words is "thirty-eight trillion, four hundred billion, five hundred three million, six hundred thirty-nine thousand, forty".