5452419840 has 288 divisors, whose sum is σ = 20023481856. Its totient is φ = 1238630400.

The previous prime is 5452419827. The next prime is 5452419853. The reversal of 5452419840 is 489142545.

It is an interprime number because it is at equal distance from previous prime (5452419827) and next prime (5452419853).

It is a super-2 number, since 2×5452419840² = 59457764223251251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5452419792 and 5452419801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5187315 + ... + 5188365.

Almost surely, 2^5452419840 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 5452419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011740928).

5452419840 is an abundant number, since it is smaller than the sum of its proper divisors (14571062016).

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

5452419840 is a wasteful number, since it uses less digits than its factorization.

5452419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5452419840 is about 73840.5027068478. The cubic root of 5452419840 is about 1760.0692810193.

The spelling of 5452419840 in words is "five billion, four hundred fifty-two million, four hundred nineteen thousand, eight hundred forty".