354540907974720 has 224 divisors, whose sum is σ = 1129213371744000. Its totient is φ = 94246883221504.

The previous prime is 354540907974683. The next prime is 354540907974733. The reversal of 354540907974720 is 27479709045453.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388846726 + ... + 389757434.

Almost surely, 2^{354540907974720} is an apocalyptic number.

354540907974720 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 354540907974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564606685872000).

354540907974720 is an abundant number, since it is smaller than the sum of its proper divisors (774672463769280).

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

354540907974720 is a wasteful number, since it uses less digits than its factorization.

354540907974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912005 (or 911995 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 66.

The spelling of 354540907974720 in words is "three hundred fifty-four trillion, five hundred forty billion, nine hundred seven million, nine hundred seventy-four thousand, seven hundred twenty".