5400302479920 has 320 divisors, whose sum is σ = 19712196910080. Its totient is φ = 1354201804800.

The previous prime is 5400302479919. The next prime is 5400302479961. The reversal of 5400302479920 is 299742030045.

5400302479920 is a `hidden beast` number, since 540 + 0 + 30 + 2 + 4 + 79 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 42936325 + ... + 43061915.

It is an arithmetic number, because the mean of its divisors is an integer number (61600615344).

Almost surely, 2^{5400302479920} 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 5400302479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856098455040).

5400302479920 is an abundant number, since it is smaller than the sum of its proper divisors (14311894430160).

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

5400302479920 is a wasteful number, since it uses less digits than its factorization.

5400302479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126801 (or 126789 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5400302479920 in words is "five trillion, four hundred billion, three hundred two million, four hundred seventy-nine thousand, nine hundred twenty".