2038220029440 has 800 divisors, whose sum is σ = 8361448565184. Its totient is φ = 464857989120.

The previous prime is 2038220029397. The next prime is 2038220029441. The reversal of 2038220029440 is 449200228302.

2038220029440 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 2 + 200 + 2 + 9 + 440 = 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 = 2038220029395 and 2038220029404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038220029441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 808495380 + ... + 808497900.

Almost surely, 2^{2038220029440} is an apocalyptic number.

2038220029440 is a gapful number since it is divisible by the number (20) 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 2038220029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180724282592).

2038220029440 is an abundant number, since it is smaller than the sum of its proper divisors (6323228535744).

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

2038220029440 is an equidigital number, since it uses as much as digits as its factorization.

2038220029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2038220029440 in words is "two trillion, thirty-eight billion, two hundred twenty million, twenty-nine thousand, four hundred forty".