354424454412120 has 192 divisors, whose sum is σ = 1258980225834240. Its totient is φ = 86084117913600.

The previous prime is 354424454412101. The next prime is 354424454412121. The reversal of 354424454412120 is 21214454424453.

354424454412120 is a `hidden beast` number, since 3 + 5 + 4 + 42 + 4 + 45 + 441 + 2 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354424454412121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933882741 + ... + 934262180.

It is an arithmetic number, because the mean of its divisors is an integer number (6557188676220).

Almost surely, 2^{354424454412120} is an apocalyptic number.

354424454412120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354424454412120 is an abundant number, since it is smaller than the sum of its proper divisors (904555771422120).

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

354424454412120 is a wasteful number, since it uses less digits than its factorization.

354424454412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868144986 (or 1868144979 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 354424454412120 in words is "three hundred fifty-four trillion, four hundred twenty-four billion, four hundred fifty-four million, four hundred twelve thousand, one hundred twenty".