38136383850240 has 1152 divisors, whose sum is σ = 149767701135360. Its totient is φ = 9129944678400.

The previous prime is 38136383850199. The next prime is 38136383850269. The reversal of 38136383850240 is 4205838363183.

It is a happy number.

38136383850240 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 63 + 8 + 38 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4655884545 + ... + 4655892735.

Almost surely, 2^{38136383850240} is an apocalyptic number.

38136383850240 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 38136383850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74883850567680).

38136383850240 is an abundant number, since it is smaller than the sum of its proper divisors (111631317285120).

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

38136383850240 is a wasteful number, since it uses less digits than its factorization.

38136383850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 38136383850240 in words is "thirty-eight trillion, one hundred thirty-six billion, three hundred eighty-three million, eight hundred fifty thousand, two hundred forty".