38124559440 has 640 divisors, whose sum is σ = 152847360000. Its totient is φ = 8636958720.

The previous prime is 38124559411. The next prime is 38124559441. The reversal of 38124559440 is 4495542183.

38124559440 is a `hidden beast` number, since 3 + 8 + 12 + 4 + 5 + 594 + 40 = 666.

It is a super-2 number, since 2×38124559440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38124559441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35663226 + ... + 35664294.

It is an arithmetic number, because the mean of its divisors is an integer number (238824000).

Almost surely, 2^38124559440 is an apocalyptic number.

38124559440 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 38124559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76423680000).

38124559440 is an abundant number, since it is smaller than the sum of its proper divisors (114722800560).

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

38124559440 is a wasteful number, since it uses less digits than its factorization.

38124559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38124559440 in words is "thirty-eight billion, one hundred twenty-four million, five hundred fifty-nine thousand, four hundred forty".