39649139712 has 1056 divisors, whose sum is σ = 156222323712. Its totient is φ = 9746251776.

The previous prime is 39649139711. The next prime is 39649139737. The reversal of 39649139712 is 21793194693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39649139711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384943053 + ... + 384943155.

Almost surely, 2^39649139712 is an apocalyptic number.

39649139712 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 39649139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78111161856).

39649139712 is an abundant number, since it is smaller than the sum of its proper divisors (116573184000).

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

39649139712 is a wasteful number, since it uses less digits than its factorization.

39649139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 39649139712 in words is "thirty-nine billion, six hundred forty-nine million, one hundred thirty-nine thousand, seven hundred twelve".