355454330053440 has 896 divisors, whose sum is σ = 1194705121075200. Its totient is φ = 89364968275968.

The previous prime is 355454330053423. The next prime is 355454330053447. The reversal of 355454330053440 is 44350033454553.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 355454330053440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355454330053447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272796875829 + ... + 272796877131.

It is an arithmetic number, because the mean of its divisors is an integer number (1333376251200).

Almost surely, 2^{355454330053440} is an apocalyptic number.

355454330053440 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 355454330053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597352560537600).

355454330053440 is an abundant number, since it is smaller than the sum of its proper divisors (839250791021760).

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

355454330053440 is a wasteful number, since it uses less digits than its factorization.

355454330053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 48.

The spelling of 355454330053440 in words is "three hundred fifty-five trillion, four hundred fifty-four billion, three hundred thirty million, fifty-three thousand, four hundred forty".