38357855994240 has 256 divisors, whose sum is σ = 136443988728000. Its totient is φ = 10184093466624.

The previous prime is 38357855994223. The next prime is 38357855994287. The reversal of 38357855994240 is 4249955875383.

38357855994240 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 7 + 8 + 5 + 599 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889569 + ... + 8803808.

Almost surely, 2^{38357855994240} is an apocalyptic number.

38357855994240 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 38357855994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68221994364000).

38357855994240 is an abundant number, since it is smaller than the sum of its proper divisors (98086132733760).

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

38357855994240 is a wasteful number, since it uses less digits than its factorization.

38357855994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9693634 (or 9693616 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 38357855994240 in words is "thirty-eight trillion, three hundred fifty-seven billion, eight hundred fifty-five million, nine hundred ninety-four thousand, two hundred forty".