39120020140032 has 624 divisors, whose sum is σ = 132587353974880. Its totient is φ = 11328754286592.

The previous prime is 39120020139989. The next prime is 39120020140039. The reversal of 39120020140032 is 23004102002193.

It is a happy number.

39120020140032 is a `hidden beast` number, since 3 + 9 + 1 + 20 + 0 + 201 + 400 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×39120020140032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 39120020139978 and 39120020140005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39120020140039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415447068 + ... + 415541220.

Almost surely, 2^{39120020140032} is an apocalyptic number.

39120020140032 is a gapful number since it is divisible by the number (32) 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 39120020140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66293676987440).

39120020140032 is an abundant number, since it is smaller than the sum of its proper divisors (93467333834848).

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

39120020140032 is a wasteful number, since it uses less digits than its factorization.

39120020140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94233 (or 94188 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 39120020140032 in words is "thirty-nine trillion, one hundred twenty billion, twenty million, one hundred forty thousand, thirty-two".