351850889040 has 640 divisors, whose sum is σ = 1338394337280. Its totient is φ = 74639867904.

The previous prime is 351850889009. The next prime is 351850889059. The reversal of 351850889040 is 40988058153.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1044067752 + ... + 1044068088.

It is an arithmetic number, because the mean of its divisors is an integer number (2091241152).

Almost surely, 2^351850889040 is an apocalyptic number.

351850889040 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 351850889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669197168640).

351850889040 is an abundant number, since it is smaller than the sum of its proper divisors (986543448240).

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

351850889040 is a wasteful number, since it uses less digits than its factorization.

351850889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 351850889040 in words is "three hundred fifty-one billion, eight hundred fifty million, eight hundred eighty-nine thousand, forty".