20140520400000 has 6144 divisors, whose sum is σ = 105379655270400. Its totient is φ = 3695155200000.

The previous prime is 20140520399863. The next prime is 20140520400017. The reversal of 20140520400000 is 402504102.

20140520400000 is a `hidden beast` number, since 2 + 0 + 140 + 520 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 875674799989 + ... + 875674800011.

It is an arithmetic number, because the mean of its divisors is an integer number (17151636600).

Almost surely, 2^{20140520400000} is an apocalyptic number.

20140520400000 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 20140520400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52689827635200).

20140520400000 is an abundant number, since it is smaller than the sum of its proper divisors (85239134870400).

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

20140520400000 is an frugal number, since it uses more digits than its factorization.

20140520400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20140520400000 its reverse (402504102), we get a palindrome (20140922904102).

The spelling of 20140520400000 in words is "twenty trillion, one hundred forty billion, five hundred twenty million, four hundred thousand".