38401377386240 has 288 divisors, whose sum is σ = 103367406562560. Its totient is φ = 13547402854400.

The previous prime is 38401377386179. The next prime is 38401377386249. The reversal of 38401377386240 is 4268377310483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401377386249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103147307 + ... + 103518933.

It is an arithmetic number, because the mean of its divisors is an integer number (358914606120).

Almost surely, 2^{38401377386240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38401377386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51683703281280).

38401377386240 is an abundant number, since it is smaller than the sum of its proper divisors (64966029176320).

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

38401377386240 is a wasteful number, since it uses less digits than its factorization.

38401377386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371879 (or 371865 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 38401377386240 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-seven million, three hundred eighty-six thousand, two hundred forty".