354402216000 has 2240 divisors, whose sum is σ = 1620158791680. Its totient is φ = 74724249600.

The previous prime is 354402215969. The next prime is 354402216013. The reversal of 354402216000 is 612204453.

354402216000 is a `hidden beast` number, since 3 + 5 + 440 + 2 + 216 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4486103961 + ... + 4486104039.

Almost surely, 2^354402216000 is an apocalyptic number.

354402216000 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 354402216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810079395840).

354402216000 is an abundant number, since it is smaller than the sum of its proper divisors (1265756575680).

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

354402216000 is a wasteful number, since it uses less digits than its factorization.

354402216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 354402216000 in words is "three hundred fifty-four billion, four hundred two million, two hundred sixteen thousand".