354904041960 has 384 divisors, whose sum is σ = 1306117612800. Its totient is φ = 82921512960.

The previous prime is 354904041959. The next prime is 354904041997. The reversal of 354904041960 is 69140409453.

354904041960 is a `hidden beast` number, since 3 + 54 + 9 + 0 + 404 + 196 + 0 = 666.

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

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, 14088256 + ... + 14113424.

It is an arithmetic number, because the mean of its divisors is an integer number (3401347950).

Almost surely, 2^354904041960 is an apocalyptic number.

354904041960 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 354904041960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653058806400).

354904041960 is an abundant number, since it is smaller than the sum of its proper divisors (951213570840).

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

354904041960 is a wasteful number, since it uses less digits than its factorization.

354904041960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25353 (or 25346 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 354904041960 in words is "three hundred fifty-four billion, nine hundred four million, forty-one thousand, nine hundred sixty".