5335919245440 has 2560 divisors, whose sum is σ = 23512991040000. Its totient is φ = 1127401390080.

The previous prime is 5335919245403. The next prime is 5335919245453. The reversal of 5335919245440 is 445429195335.

5335919245440 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 9 + 1 + 92 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35811538486 + ... + 35811538634.

It is an arithmetic number, because the mean of its divisors is an integer number (9184762125).

Almost surely, 2^{5335919245440} 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 5335919245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11756495520000).

5335919245440 is an abundant number, since it is smaller than the sum of its proper divisors (18177071794560).

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

5335919245440 is a wasteful number, since it uses less digits than its factorization.

5335919245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 5335919245440 in words is "five trillion, three hundred thirty-five billion, nine hundred nineteen million, two hundred forty-five thousand, four hundred forty".