140034149875200 has 960 divisors, whose sum is σ = 547187894161920. Its totient is φ = 30888345600000.

The previous prime is 140034149875199. The next prime is 140034149875381. The reversal of 140034149875200 is 2578941430041.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140034149875200.

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, 22224112050 + ... + 22224118350.

It is an arithmetic number, because the mean of its divisors is an integer number (569987389752).

Almost surely, 2^{140034149875200} is an apocalyptic number.

140034149875200 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 140034149875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273593947080960).

140034149875200 is an abundant number, since it is smaller than the sum of its proper divisors (407153744286720).

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

140034149875200 is a wasteful number, since it uses less digits than its factorization.

140034149875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 140034149875200 in words is "one hundred forty trillion, thirty-four billion, one hundred forty-nine million, eight hundred seventy-five thousand, two hundred".