355438540800 has 1152 divisors, whose sum is σ = 1557950284800. Its totient is φ = 77662126080.

The previous prime is 355438540789. The next prime is 355438540817. The reversal of 355438540800 is 8045834553.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 222565602 + ... + 222567198.

It is an arithmetic number, because the mean of its divisors is an integer number (1352387400).

Almost surely, 2^355438540800 is an apocalyptic number.

355438540800 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 355438540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778975142400).

355438540800 is an abundant number, since it is smaller than the sum of its proper divisors (1202511744000).

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

355438540800 is a wasteful number, since it uses less digits than its factorization.

355438540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 355438540800 in words is "three hundred fifty-five billion, four hundred thirty-eight million, five hundred forty thousand, eight hundred".