38763694121040 has 480 divisors, whose sum is σ = 153821843914752. Its totient is φ = 8560847232000.

The previous prime is 38763694121039. The next prime is 38763694121041. The reversal of 38763694121040 is 4012149636783.

38763694121040 is a `hidden beast` number, since 3 + 8 + 7 + 63 + 69 + 412 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38763694121039) and next prime (38763694121041).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38763694121041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 98390845 + ... + 98784035.

Almost surely, 2^{38763694121040} is an apocalyptic number.

38763694121040 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 38763694121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76910921957376).

38763694121040 is an abundant number, since it is smaller than the sum of its proper divisors (115058149793712).

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

38763694121040 is a wasteful number, since it uses less digits than its factorization.

38763694121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393879 (or 393870 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38763694121040 in words is "thirty-eight trillion, seven hundred sixty-three billion, six hundred ninety-four million, one hundred twenty-one thousand, forty".