39142206720 has 432 divisors, whose sum is σ = 142815359232. Its totient is φ = 10261831680.

The previous prime is 39142206689. The next prime is 39142206721. The reversal of 39142206720 is 2760224193.

39142206720 is a `hidden beast` number, since 391 + 42 + 206 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×39142206720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39142206721) 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, 18972409 + ... + 18974471.

Almost surely, 2^39142206720 is an apocalyptic number.

39142206720 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 39142206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71407679616).

39142206720 is an abundant number, since it is smaller than the sum of its proper divisors (103673152512).

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

39142206720 is an equidigital number, since it uses as much as digits as its factorization.

39142206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 39142206720 in words is "thirty-nine billion, one hundred forty-two million, two hundred six thousand, seven hundred twenty".