355445640000 has 420 divisors, whose sum is σ = 1388871918720. Its totient is φ = 86167680000.

The previous prime is 355445639987. The next prime is 355445640013. The reversal of 355445640000 is 46544553.

355445640000 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 4 + 5 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (355445639987) and next prime (355445640013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3915121 + ... + 4004879.

Almost surely, 2^355445640000 is an apocalyptic number.

355445640000 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 355445640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694435959360).

355445640000 is an abundant number, since it is smaller than the sum of its proper divisors (1033426278720).

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

355445640000 is a wasteful number, since it uses less digits than its factorization.

355445640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89808 (or 89780 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 355445640000 in words is "three hundred fifty-five billion, four hundred forty-five million, six hundred forty thousand".