351190229040 has 480 divisors, whose sum is σ = 1404105131520. Its totient is φ = 79911401472.

The previous prime is 351190229021. The next prime is 351190229041. The reversal of 351190229040 is 40922091153.

351190229040 is a `hidden beast` number, since 351 + 19 + 0 + 2 + 290 + 4 + 0 = 666.

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 = 351190228986 and 351190229004.

It is not an unprimeable number, because it can be changed into a prime (351190229041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30884476 + ... + 30895844.

It is an arithmetic number, because the mean of its divisors is an integer number (2925219024).

Almost surely, 2^351190229040 is an apocalyptic number.

351190229040 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 351190229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702052565760).

351190229040 is an abundant number, since it is smaller than the sum of its proper divisors (1052914902480).

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

351190229040 is a wasteful number, since it uses less digits than its factorization.

351190229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631 (or 11613 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 351190229040 in words is "three hundred fifty-one billion, one hundred ninety million, two hundred twenty-nine thousand, forty".