140040312100000 has 864 divisors, whose sum is σ = 385087546850832. Its totient is φ = 50067763200000.

The previous prime is 140040312099967. The next prime is 140040312100063. The reversal of 140040312100000 is 1213040041.

It can be written as a sum of positive squares in 72 ways, for example, as 115114616805904 + 24925695294096 = 10729148^2 + 4992564^2 .

It is a super-2 number, since 2×140040312100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175709299602 + ... + 175709300398.

Almost surely, 2^{140040312100000} is an apocalyptic number.

140040312100000 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 140040312100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192543773425416).

140040312100000 is an abundant number, since it is smaller than the sum of its proper divisors (245047234750832).

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

140040312100000 is an equidigital number, since it uses as much as digits as its factorization.

140040312100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 140040312100000 its reverse (1213040041), we get a palindrome (140041525140041).

The spelling of 140040312100000 in words is "one hundred forty trillion, forty billion, three hundred twelve million, one hundred thousand".