2434435040000 has 180 divisors, whose sum is σ = 6391857419640. Its totient is φ = 922521600000.

The previous prime is 2434435039999. The next prime is 2434435040003. The reversal of 2434435040000 is 405344342.

It is not an unprimeable number, because it can be changed into a prime (2434435040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2639600 + ... + 3440400.

It is an arithmetic number, because the mean of its divisors is an integer number (35510318998).

Almost surely, 2^{2434435040000} is an apocalyptic number.

2434435040000 is a gapful number since it is divisible by the number (20) 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 2434435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195928709820).

2434435040000 is an abundant number, since it is smaller than the sum of its proper divisors (3957422379640).

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

2434435040000 is an frugal number, since it uses more digits than its factorization.

2434435040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800856 (or 800827 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The spelling of 2434435040000 in words is "two trillion, four hundred thirty-four billion, four hundred thirty-five million, forty thousand".