38062420078800 has 240 divisors, whose sum is σ = 131335395399488. Its totient is φ = 9367084339200.

The previous prime is 38062420078763. The next prime is 38062420078801. The reversal of 38062420078800 is 887002426083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38062420078800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38062420078801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69004899 + ... + 69554301.

Almost surely, 2^{38062420078800} is an apocalyptic number.

38062420078800 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 38062420078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65667697699744).

38062420078800 is an abundant number, since it is smaller than the sum of its proper divisors (93272975320688).

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

38062420078800 is a wasteful number, since it uses less digits than its factorization.

38062420078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553878 (or 553867 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 38062420078800 in words is "thirty-eight trillion, sixty-two billion, four hundred twenty million, seventy-eight thousand, eight hundred".