4102140013400 has 192 divisors, whose sum is σ = 11210020012800. Its totient is φ = 1376308800000.

The previous prime is 4102140013399. The next prime is 4102140013429. The reversal of 4102140013400 is 43100412014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 64346741 + ... + 64410459.

It is an arithmetic number, because the mean of its divisors is an integer number (58385520900).

Almost surely, 2^{4102140013400} is an apocalyptic number.

4102140013400 is a gapful number since it is divisible by the number (40) 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 4102140013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605010006400).

4102140013400 is an abundant number, since it is smaller than the sum of its proper divisors (7107879999400).

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

4102140013400 is a wasteful number, since it uses less digits than its factorization.

4102140013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66010 (or 66001 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4102140013400 its reverse (43100412014), we get a palindrome (4145240425414).

The spelling of 4102140013400 in words is "four trillion, one hundred two billion, one hundred forty million, thirteen thousand, four hundred".