38403888906240 has 960 divisors, whose sum is σ = 156422157091200. Its totient is φ = 8593122263040.

The previous prime is 38403888906223. The next prime is 38403888906293. The reversal of 38403888906240 is 4260988830483.

38403888906240 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 388 + 8 + 9 + 0 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3373787589 + ... + 3373798971.

It is an arithmetic number, because the mean of its divisors is an integer number (162939746970).

Almost surely, 2^{38403888906240} is an apocalyptic number.

38403888906240 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 38403888906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78211078545600).

38403888906240 is an abundant number, since it is smaller than the sum of its proper divisors (118018268184960).

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

38403888906240 is a wasteful number, since it uses less digits than its factorization.

38403888906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11456 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 38403888906240 in words is "thirty-eight trillion, four hundred three billion, eight hundred eighty-eight million, nine hundred six thousand, two hundred forty".