354408229980 has 1152 divisors, whose sum is σ = 1414300124160. Its totient is φ = 73156608000.

The previous prime is 354408229979. The next prime is 354408230009. The reversal of 354408229980 is 89922804453.

354408229980 is a `hidden beast` number, since 3 + 5 + 4 + 408 + 229 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1411984855 + ... + 1411985105.

It is an arithmetic number, because the mean of its divisors is an integer number (1227691080).

Almost surely, 2^354408229980 is an apocalyptic number.

354408229980 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 354408229980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707150062080).

354408229980 is an abundant number, since it is smaller than the sum of its proper divisors (1059891894180).

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

354408229980 is a wasteful number, since it uses less digits than its factorization.

354408229980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 354408229980 in words is "three hundred fifty-four billion, four hundred eight million, two hundred twenty-nine thousand, nine hundred eighty".