3140200100400 has 240 divisors, whose sum is σ = 11022791162880. Its totient is φ = 757846195200.

The previous prime is 3140200100399. The next prime is 3140200100419. The reversal of 3140200100400 is 40010020413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3140200100400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410206 + ... + 3476994.

It is an arithmetic number, because the mean of its divisors is an integer number (45928296512).

Almost surely, 2^{3140200100400} is an apocalyptic number.

3140200100400 is a gapful number since it is divisible by the number (30) 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 3140200100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511395581440).

3140200100400 is an abundant number, since it is smaller than the sum of its proper divisors (7882591062480).

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

3140200100400 is a wasteful number, since it uses less digits than its factorization.

3140200100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067044 (or 1067033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 3140200100400 its reverse (40010020413), we get a palindrome (3180210120813).

The spelling of 3140200100400 in words is "three trillion, one hundred forty billion, two hundred million, one hundred thousand, four hundred".