5421135133440 has 2016 divisors, whose sum is σ = 22624739047680. Its totient is φ = 1232542531584.

The previous prime is 5421135133429. The next prime is 5421135133441. The reversal of 5421135133440 is 443315311245.

5421135133440 is a `hidden beast` number, since 5 + 42 + 11 + 35 + 133 + 440 = 666.

It is a super-2 number, since 2×5421135133440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5421135133395 and 5421135133404.

It is not an unprimeable number, because it can be changed into a prime (5421135133441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9910667247 + ... + 9910667793.

Almost surely, 2^{5421135133440} 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 5421135133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312369523840).

5421135133440 is an abundant number, since it is smaller than the sum of its proper divisors (17203603914240).

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

5421135133440 is a wasteful number, since it uses less digits than its factorization.

5421135133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 5421135133440 in words is "five trillion, four hundred twenty-one billion, one hundred thirty-five million, one hundred thirty-three thousand, four hundred forty".