2413200101400 has 576 divisors, whose sum is σ = 9296021311200. Its totient is φ = 555577344000.

The previous prime is 2413200101399. The next prime is 2413200101441. The reversal of 2413200101400 is 41010023142.

2413200101400 is a `hidden beast` number, since 2 + 413 + 200 + 10 + 1 + 40 + 0 = 666.

2413200101400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34991752 + ... + 35060648.

Almost surely, 2^{2413200101400} is an apocalyptic number.

2413200101400 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 2413200101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648010655600).

2413200101400 is an abundant number, since it is smaller than the sum of its proper divisors (6882821209800).

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

2413200101400 is a wasteful number, since it uses less digits than its factorization.

2413200101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69020 (or 69008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2413200101400 its reverse (41010023142), we get a palindrome (2454210124542).

The spelling of 2413200101400 in words is "two trillion, four hundred thirteen billion, two hundred million, one hundred one thousand, four hundred".