2414132001400 has 48 divisors (see below), whose sum is σ = 6414693607440. Its totient is φ = 827702400000.

The previous prime is 2414132001377. The next prime is 2414132001403. The reversal of 2414132001400 is 41002314142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414132001403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862188601 + ... + 862191400.

It is an arithmetic number, because the mean of its divisors is an integer number (133639450155).

Almost surely, 2^{2414132001400} is an apocalyptic number.

2414132001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414132001400 is an abundant number, since it is smaller than the sum of its proper divisors (4000561606040).

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

2414132001400 is a wasteful number, since it uses less digits than its factorization.

2414132001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724380024 (or 1724380015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2414132001400 its reverse (41002314142), we get a palindrome (2455134315542).

The spelling of 2414132001400 in words is "two trillion, four hundred fourteen billion, one hundred thirty-two million, one thousand, four hundred".