20145141400 has 96 divisors (see below), whose sum is σ = 49443264000. Its totient is φ = 7612168320.

The previous prime is 20145141361. The next prime is 20145141409. The reversal of 20145141400 is 414154102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145141409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356817 + ... + 1371583.

It is an arithmetic number, because the mean of its divisors is an integer number (515034000).

Almost surely, 2^20145141400 is an apocalyptic number.

20145141400 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 20145141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721632000).

20145141400 is an abundant number, since it is smaller than the sum of its proper divisors (29298122600).

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

20145141400 is a wasteful number, since it uses less digits than its factorization.

20145141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15161 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 20145141400 its reverse (414154102), we get a palindrome (20559295502).

The spelling of 20145141400 in words is "twenty billion, one hundred forty-five million, one hundred forty-one thousand, four hundred".