2414744474142 has 192 divisors, whose sum is σ = 6710059786752. Its totient is φ = 563311584000.

The previous prime is 2414744474101. The next prime is 2414744474203.

2414744474142 is nontrivially palindromic in base 10.

2414744474142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2414744474091 and 2414744474100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1950517 + ... + 2938367.

It is an arithmetic number, because the mean of its divisors is an integer number (34948228056).

Almost surely, 2^{2414744474142} is an apocalyptic number.

2414744474142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414744474142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355029893376).

2414744474142 is an abundant number, since it is smaller than the sum of its proper divisors (4295315312610).

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

2414744474142 is a wasteful number, since it uses less digits than its factorization.

2414744474142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987935 (or 987924 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 48.

The spelling of 2414744474142 in words is "two trillion, four hundred fourteen billion, seven hundred forty-four million, four hundred seventy-four thousand, one hundred forty-two".