38142637440 has 512 divisors, whose sum is σ = 130870080000. Its totient is φ = 9431482368.

The previous prime is 38142637399. The next prime is 38142637447. The reversal of 38142637440 is 4473624183.

It is a junction number, because it is equal to n+sod(n) for n = 38142637392 and 38142637401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38142637447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213087271 + ... + 213087449.

It is an arithmetic number, because the mean of its divisors is an integer number (255605625).

Almost surely, 2^38142637440 is an apocalyptic number.

38142637440 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 38142637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65435040000).

38142637440 is an abundant number, since it is smaller than the sum of its proper divisors (92727442560).

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

38142637440 is a wasteful number, since it uses less digits than its factorization.

38142637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 38142637440 in words is "thirty-eight billion, one hundred forty-two million, six hundred thirty-seven thousand, four hundred forty".