20400151313240 has 128 divisors (see below), whose sum is σ = 47768162400000. Its totient is φ = 7831508160000.

The previous prime is 20400151313221. The next prime is 20400151313279. The reversal of 20400151313240 is 4231315100402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145218635 + ... + 145359045.

It is an arithmetic number, because the mean of its divisors is an integer number (373188768750).

Almost surely, 2^{20400151313240} is an apocalyptic number.

20400151313240 is a gapful number since it is divisible by the number (20) 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 20400151313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23884081200000).

20400151313240 is an abundant number, since it is smaller than the sum of its proper divisors (27368011086760).

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

20400151313240 is a wasteful number, since it uses less digits than its factorization.

20400151313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141201 (or 141197 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 20400151313240 its reverse (4231315100402), we get a palindrome (24631466413642).

The spelling of 20400151313240 in words is "twenty trillion, four hundred billion, one hundred fifty-one million, three hundred thirteen thousand, two hundred forty".