355134142440 has 288 divisors, whose sum is σ = 1464682059360. Its totient is φ = 73794067200.

The previous prime is 355134142423. The next prime is 355134142453. The reversal of 355134142440 is 44241431553.

355134142440 is a `hidden beast` number, since 3 + 551 + 3 + 41 + 4 + 24 + 40 = 666.

It is a super-2 number, since 2×355134142440² (a number of 24 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 = 355134142395 and 355134142404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 721066 + ... + 1109145.

It is an arithmetic number, because the mean of its divisors is an integer number (5085701595).

Almost surely, 2^355134142440 is an apocalyptic number.

355134142440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355134142440 is an abundant number, since it is smaller than the sum of its proper divisors (1109547916920).

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

355134142440 is a wasteful number, since it uses less digits than its factorization.

355134142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830253 (or 1830239 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 355134142440 its reverse (44241431553), we get a palindrome (399375573993).

The spelling of 355134142440 in words is "three hundred fifty-five billion, one hundred thirty-four million, one hundred forty-two thousand, four hundred forty".