353427507540 has 144 divisors (see below), whose sum is σ = 1108855028736. Its totient is φ = 91025049600.

The previous prime is 353427507539. The next prime is 353427507569. The reversal of 353427507540 is 45705724353.

353427507540 is a `hidden beast` number, since 3 + 5 + 34 + 2 + 75 + 0 + 7 + 540 = 666.

It is a super-2 number, since 2×353427507540² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743780 + ... + 2869700.

It is an arithmetic number, because the mean of its divisors is an integer number (7700382144).

Almost surely, 2^353427507540 is an apocalyptic number.

353427507540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353427507540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554427514368).

353427507540 is an abundant number, since it is smaller than the sum of its proper divisors (755427521196).

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

353427507540 is a wasteful number, since it uses less digits than its factorization.

353427507540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126470 (or 126465 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 353427507540 in words is "three hundred fifty-three billion, four hundred twenty-seven million, five hundred seven thousand, five hundred forty".