2414342132400 has 240 divisors, whose sum is σ = 8562957257088. Its totient is φ = 576559104000.

The previous prime is 2414342132399. The next prime is 2414342132459. The reversal of 2414342132400 is 42312434142.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480561 + ... + 2249360.

Almost surely, 2^{2414342132400} is an apocalyptic number.

2414342132400 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 2414342132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281478628544).

2414342132400 is an abundant number, since it is smaller than the sum of its proper divisors (6148615124688).

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

2414342132400 is a wasteful number, since it uses less digits than its factorization.

2414342132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730020 (or 2730009 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2414342132400 its reverse (42312434142), we get a palindrome (2456654566542).

The spelling of 2414342132400 in words is "two trillion, four hundred fourteen billion, three hundred forty-two million, one hundred thirty-two thousand, four hundred".