38739265014240 has 1152 divisors, whose sum is σ = 165057564672000. Its totient is φ = 8381915375616.

The previous prime is 38739265014227. The next prime is 38739265014343. The reversal of 38739265014240 is 4241056293783.

38739265014240 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 92 + 6 + 501 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9095857231 + ... + 9095861489.

It is an arithmetic number, because the mean of its divisors is an integer number (143279136000).

It is a 1-persistent number, because it is pandigital, but 2⋅38739265014240 = 77478530028480 is not.

Almost surely, 2^{38739265014240} is an apocalyptic number.

38739265014240 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 38739265014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82528782336000).

38739265014240 is an abundant number, since it is smaller than the sum of its proper divisors (126318299657760).

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

38739265014240 is a wasteful number, since it uses less digits than its factorization.

38739265014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 38739265014240 in words is "thirty-eight trillion, seven hundred thirty-nine billion, two hundred sixty-five million, fourteen thousand, two hundred forty".