1639034142720 has 1440 divisors, whose sum is σ = 6263079137280. Its totient is φ = 364369674240.

The previous prime is 1639034142671. The next prime is 1639034142721. The reversal of 1639034142720 is 272414309361.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1639034142721) 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, 24463196127 + ... + 24463196193.

It is an arithmetic number, because the mean of its divisors is an integer number (4349360512).

Almost surely, 2^{1639034142720} is an apocalyptic number.

1639034142720 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 1639034142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131539568640).

1639034142720 is an abundant number, since it is smaller than the sum of its proper divisors (4624044994560).

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

1639034142720 is a wasteful number, since it uses less digits than its factorization.

1639034142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 1639034142720 in words is "one trillion, six hundred thirty-nine billion, thirty-four million, one hundred forty-two thousand, seven hundred twenty".