2434401402000 has 160 divisors (see below), whose sum is σ = 7871135036544. Its totient is φ = 647302336000.

The previous prime is 2434401401981. The next prime is 2434401402011. The reversal of 2434401402000 is 2041044342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497370 + ... + 2666630.

Almost surely, 2^{2434401402000} is an apocalyptic number.

2434401402000 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 2434401402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935567518272).

2434401402000 is an abundant number, since it is smaller than the sum of its proper divisors (5436733634544).

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

2434401402000 is a wasteful number, since it uses less digits than its factorization.

2434401402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169634 (or 1169618 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2434401402000 its reverse (2041044342), we get a palindrome (2436442446342).

The spelling of 2434401402000 in words is "two trillion, four hundred thirty-four billion, four hundred one million, four hundred two thousand".