7354920420144 has 480 divisors, whose sum is σ = 23732417599488. Its totient is φ = 2105906688000.

The previous prime is 7354920420059. The next prime is 7354920420191. The reversal of 7354920420144 is 4410240294537.

7354920420144 is a `hidden beast` number, since 7 + 3 + 549 + 20 + 42 + 0 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7354920420144.

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, 410353167 + ... + 410371089.

Almost surely, 2^{7354920420144} 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 7354920420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866208799744).

7354920420144 is an abundant number, since it is smaller than the sum of its proper divisors (16377497179344).

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

7354920420144 is a wasteful number, since it uses less digits than its factorization.

7354920420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18177 (or 18168 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 7354920420144 in words is "seven trillion, three hundred fifty-four billion, nine hundred twenty million, four hundred twenty thousand, one hundred forty-four".