354014501040 has 120 divisors (see below), whose sum is σ = 1251472363440. Its totient is φ = 89435238912.

The previous prime is 354014500951. The next prime is 354014501063. The reversal of 354014501040 is 40105410453.

It is a happy number.

354014501040 is a `hidden beast` number, since 3 + 540 + 14 + 5 + 0 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×354014501040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354014500995 and 354014501013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12925447 + ... + 12952806.

It is an arithmetic number, because the mean of its divisors is an integer number (10428936362).

Almost surely, 2^354014501040 is an apocalyptic number.

354014501040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354014501040 is an abundant number, since it is smaller than the sum of its proper divisors (897457862400).

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

354014501040 is a wasteful number, since it uses less digits than its factorization.

354014501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25878291 (or 25878282 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 354014501040 its reverse (40105410453), we get a palindrome (394119911493).

The spelling of 354014501040 in words is "three hundred fifty-four billion, fourteen million, five hundred one thousand, forty".