354267426240 has 504 divisors, whose sum is σ = 1507986893088. Its totient is φ = 74745815040.

The previous prime is 354267426199. The next prime is 354267426251. The reversal of 354267426240 is 42624762453.

354267426240 is a `hidden beast` number, since 3 + 542 + 6 + 7 + 4 + 2 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×354267426240³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3355050 + ... + 3459030.

Almost surely, 2^354267426240 is an apocalyptic number.

354267426240 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 354267426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753993446544).

354267426240 is an abundant number, since it is smaller than the sum of its proper divisors (1153719466848).

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

354267426240 is a wasteful number, since it uses less digits than its factorization.

354267426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104037 (or 104011 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 354267426240 in words is "three hundred fifty-four billion, two hundred sixty-seven million, four hundred twenty-six thousand, two hundred forty".