3542405240000 has 280 divisors, whose sum is σ = 9725664641088. Its totient is φ = 1268910720000.

The previous prime is 3542405239999. The next prime is 3542405240071. The reversal of 3542405240000 is 425042453.

It is a super-3 number, since 3×3542405240000³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29419919 + ... + 29540081.

Almost surely, 2^{3542405240000} 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 3542405240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862832320544).

3542405240000 is an abundant number, since it is smaller than the sum of its proper divisors (6183259401088).

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

3542405240000 is a wasteful number, since it uses less digits than its factorization.

3542405240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120273 (or 120248 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The spelling of 3542405240000 in words is "three trillion, five hundred forty-two billion, four hundred five million, two hundred forty thousand".