7414825241824 has 384 divisors, whose sum is σ = 20659608990720. Its totient is φ = 2522891059200.

The previous prime is 7414825241801. The next prime is 7414825241903. The reversal of 7414825241824 is 4281425284147.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470446104 + ... + 470461864.

It is an arithmetic number, because the mean of its divisors is an integer number (53801065080).

Almost surely, 2^{7414825241824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7414825241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329804495360).

7414825241824 is an abundant number, since it is smaller than the sum of its proper divisors (13244783748896).

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

7414825241824 is a wasteful number, since it uses less digits than its factorization.

7414825241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16594 (or 16586 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 52.

The spelling of 7414825241824 in words is "seven trillion, four hundred fourteen billion, eight hundred twenty-five million, two hundred forty-one thousand, eight hundred twenty-four".