140343015661200 has 360 divisors, whose sum is σ = 534375785885760. Its totient is φ = 33825885465600.

The previous prime is 140343015661133. The next prime is 140343015661223. The reversal of 140343015661200 is 2166510343041.

140343015661200 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 4 + 30 + 1 + 5 + 6 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3392020 + ... + 17093619.

It is an arithmetic number, because the mean of its divisors is an integer number (1484377183016).

Almost surely, 2^{140343015661200} is an apocalyptic number.

140343015661200 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 140343015661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267187892942880).

140343015661200 is an abundant number, since it is smaller than the sum of its proper divisors (394032770224560).

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

140343015661200 is a wasteful number, since it uses less digits than its factorization.

140343015661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20485847 (or 20485833 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 140343015661200 in words is "one hundred forty trillion, three hundred forty-three billion, fifteen million, six hundred sixty-one thousand, two hundred".