139435434240 has 288 divisors, whose sum is σ = 452552196096. Its totient is φ = 36583956480.

The previous prime is 139435434233. The next prime is 139435434247. The reversal of 139435434240 is 42434534931.

139435434240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (139435434233) and next prime (139435434247).

It is a junction number, because it is equal to n+sod(n) for n = 139435434192 and 139435434201.

It is not an unprimeable number, because it can be changed into a prime (139435434247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66050785 + ... + 66052895.

It is an arithmetic number, because the mean of its divisors is an integer number (1571361792).

Almost surely, 2^139435434240 is an apocalyptic number.

139435434240 is a gapful number since it is divisible by the number (10) 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 139435434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226276098048).

139435434240 is an abundant number, since it is smaller than the sum of its proper divisors (313116761856).

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

139435434240 is a wasteful number, since it uses less digits than its factorization.

139435434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 139435434240 in words is "one hundred thirty-nine billion, four hundred thirty-five million, four hundred thirty-four thousand, two hundred forty".