7493409163440 has 800 divisors, whose sum is σ = 29051416018944. Its totient is φ = 1781268848640.

The previous prime is 7493409163439. The next prime is 7493409163447. The reversal of 7493409163440 is 443619043947.

7493409163440 is a `hidden beast` number, since 7 + 4 + 9 + 34 + 0 + 9 + 163 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7493409163447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160479777 + ... + 160526463.

Almost surely, 2^{7493409163440} 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 7493409163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525708009472).

7493409163440 is an abundant number, since it is smaller than the sum of its proper divisors (21558006855504).

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

7493409163440 is a wasteful number, since it uses less digits than its factorization.

7493409163440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46807 (or 46792 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 7493409163440 in words is "seven trillion, four hundred ninety-three billion, four hundred nine million, one hundred sixty-three thousand, four hundred forty".