140509072704 has 672 divisors, whose sum is σ = 515570614272. Its totient is φ = 33191424000.

The previous prime is 140509072663. The next prime is 140509072721. The reversal of 140509072704 is 407270905041.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95518689 + ... + 95520159.

It is an arithmetic number, because the mean of its divisors is an integer number (767218176).

Almost surely, 2^140509072704 is an apocalyptic number.

140509072704 is a gapful number since it is divisible by the number (14) 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 140509072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257785307136).

140509072704 is an abundant number, since it is smaller than the sum of its proper divisors (375061541568).

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

140509072704 is a wasteful number, since it uses less digits than its factorization.

140509072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 140509072704 its reverse (407270905041), we get a palindrome (547779977745).

The spelling of 140509072704 in words is "one hundred forty billion, five hundred nine million, seventy-two thousand, seven hundred four".