140213112010020 has 288 divisors, whose sum is σ = 490742341689600. Its totient is φ = 31741037540352.

The previous prime is 140213112010007. The next prime is 140213112010033. The reversal of 140213112010020 is 20010211312041.

140213112010020 is a `hidden beast` number, since 1 + 402 + 131 + 12 + 0 + 100 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (140213112010007) and next prime (140213112010033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140213112009975 and 140213112010002.

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, 321020022 + ... + 321456498.

It is an arithmetic number, because the mean of its divisors is an integer number (1703966464200).

Almost surely, 2^{140213112010020} is an apocalyptic number.

140213112010020 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 140213112010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245371170844800).

140213112010020 is an abundant number, since it is smaller than the sum of its proper divisors (350529229679580).

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

140213112010020 is a wasteful number, since it uses less digits than its factorization.

140213112010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438947 (or 438942 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 140213112010020 its reverse (20010211312041), we get a palindrome (160223323322061).

The spelling of 140213112010020 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred twelve million, ten thousand, twenty".