354063409440 has 576 divisors, whose sum is σ = 1272491700480. Its totient is φ = 82552504320.

The previous prime is 354063409439. The next prime is 354063409451. The reversal of 354063409440 is 44904360453.

It is a super-2 number, since 2×354063409440² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 354063409392 and 354063409401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203366970 + ... + 203368710.

It is an arithmetic number, because the mean of its divisors is an integer number (2209186980).

Almost surely, 2^354063409440 is an apocalyptic number.

354063409440 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 354063409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636245850240).

354063409440 is an abundant number, since it is smaller than the sum of its proper divisors (918428291040).

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

354063409440 is a wasteful number, since it uses less digits than its factorization.

354063409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 354063409440 its reverse (44904360453), we get a palindrome (398967769893).

The spelling of 354063409440 in words is "three hundred fifty-four billion, sixty-three million, four hundred nine thousand, four hundred forty".