140029972264 has 320 divisors, whose sum is σ = 357803712000. Its totient is φ = 51028540416.

The previous prime is 140029972223. The next prime is 140029972267. The reversal of 140029972264 is 462279920041.

140029972264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140029972267) 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 79 ways as a sum of consecutive naturals, for example, 2979361089 + ... + 2979361135.

It is an arithmetic number, because the mean of its divisors is an integer number (1118136600).

Almost surely, 2^140029972264 is an apocalyptic number.

140029972264 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 140029972264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178901856000).

140029972264 is an abundant number, since it is smaller than the sum of its proper divisors (217773739736).

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

140029972264 is an frugal number, since it uses more digits than its factorization.

140029972264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 140029972264 in words is "one hundred forty billion, twenty-nine million, nine hundred seventy-two thousand, two hundred sixty-four".