354497782714240 has 256 divisors, whose sum is σ = 938411124120000. Its totient is φ = 128043082506240.

The previous prime is 354497782714223. The next prime is 354497782714241. The reversal of 354497782714240 is 42417287794453.

It is a super-2 number, since 2×354497782714240² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354497782714241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125527666 + ... + 128320654.

Almost surely, 2^{354497782714240} 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 354497782714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469205562060000).

354497782714240 is an abundant number, since it is smaller than the sum of its proper divisors (583913341405760).

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

354497782714240 is a wasteful number, since it uses less digits than its factorization.

354497782714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793190 (or 2793156 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 67.

The spelling of 354497782714240 in words is "three hundred fifty-four trillion, four hundred ninety-seven billion, seven hundred eighty-two million, seven hundred fourteen thousand, two hundred forty".