354144538440 has 576 divisors, whose sum is σ = 1469691812160. Its totient is φ = 73130480640.

The previous prime is 354144538343. The next prime is 354144538453. The reversal of 354144538440 is 44835441453.

354144538440 is a `hidden beast` number, since 35 + 4 + 1 + 44 + 538 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31622922 + ... + 31634118.

It is an arithmetic number, because the mean of its divisors is an integer number (2551548285).

Almost surely, 2^354144538440 is an apocalyptic number.

354144538440 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 354144538440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734845906080).

354144538440 is an abundant number, since it is smaller than the sum of its proper divisors (1115547273720).

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

354144538440 is a wasteful number, since it uses less digits than its factorization.

354144538440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 354144538440 its reverse (44835441453), we get a palindrome (398979979893).

The spelling of 354144538440 in words is "three hundred fifty-four billion, one hundred forty-four million, five hundred thirty-eight thousand, four hundred forty".