353300145413440 has 28 divisors (see below), whose sum is σ = 841295971266516. Its totient is φ = 141320058165248.

The previous prime is 353300145413437. The next prime is 353300145413461. The reversal of 353300145413440 is 44314541003353.

It can be written as a sum of positive squares in 2 ways, for example, as 47315248017664 + 305984897395776 = 6878608^2 + 17492424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 353300145413393 and 353300145413402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 552031476889 + ... + 552031477528.

Almost surely, 2^{353300145413440} is an apocalyptic number.

It is an amenable number.

353300145413440 is an abundant number, since it is smaller than the sum of its proper divisors (487995825853076).

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

353300145413440 is a wasteful number, since it uses less digits than its factorization.

353300145413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104062954434 (or 1104062954424 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 353300145413440 its reverse (44314541003353), we get a palindrome (397614686416793).

The spelling of 353300145413440 in words is "three hundred fifty-three trillion, three hundred billion, one hundred forty-five million, four hundred thirteen thousand, four hundred forty".