38515237629440 has 640 divisors, whose sum is σ = 109716880420224. Its totient is φ = 12782665728000.

The previous prime is 38515237629413. The next prime is 38515237629467. The reversal of 38515237629440 is 4492673251583.

It is an interprime number because it is at equal distance from previous prime (38515237629413) and next prime (38515237629467).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 38515237629440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22379567780 + ... + 22379569500.

It is a 1-persistent number, because it is pandigital, but 2⋅38515237629440 = 77030475258880 is not.

Almost surely, 2^{38515237629440} 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 38515237629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54858440210112).

38515237629440 is an abundant number, since it is smaller than the sum of its proper divisors (71201642790784).

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

38515237629440 is a wasteful number, since it uses less digits than its factorization.

38515237629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 59.

The spelling of 38515237629440 in words is "thirty-eight trillion, five hundred fifteen billion, two hundred thirty-seven million, six hundred twenty-nine thousand, four hundred forty".