38720214973440 has 4752 divisors, whose sum is σ = 195089386355136. Its totient is φ = 6885652561920.

The previous prime is 38720214973367. The next prime is 38720214973499. The reversal of 38720214973440 is 4437941202783.

38720214973440 is a `hidden beast` number, since 3 + 8 + 7 + 202 + 1 + 4 + 97 + 344 + 0 = 666.

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 577913656287 + ... + 577913656353.

Almost surely, 2^{38720214973440} is an apocalyptic number.

38720214973440 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 38720214973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97544693177568).

38720214973440 is an abundant number, since it is smaller than the sum of its proper divisors (156369171381696).

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

38720214973440 is a wasteful number, since it uses less digits than its factorization.

38720214973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 38720214973440 in words is "thirty-eight trillion, seven hundred twenty billion, two hundred fourteen million, nine hundred seventy-three thousand, four hundred forty".