354231140454400 has 1872 divisors, whose sum is σ = 1052918422907904. Its totient is φ = 117758361600000.

The previous prime is 354231140454397. The next prime is 354231140454419. The reversal of 354231140454400 is 4454041132453.

It is a super-3 number, since 3×354231140454400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 892269875002 + ... + 892269875398.

Almost surely, 2^{354231140454400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354231140454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526459211453952).

354231140454400 is an abundant number, since it is smaller than the sum of its proper divisors (698687282453504).

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

354231140454400 is a wasteful number, since it uses less digits than its factorization.

354231140454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 354231140454400 its reverse (4454041132453), we get a palindrome (358685181586853).

The spelling of 354231140454400 in words is "three hundred fifty-four trillion, two hundred thirty-one billion, one hundred forty million, four hundred fifty-four thousand, four hundred".