1630840102400 has 480 divisors, whose sum is σ = 4457071872000. Its totient is φ = 588937789440.

The previous prime is 1630840102337. The next prime is 1630840102403. The reversal of 1630840102400 is 42010480361.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630840102403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557169737 + ... + 557172663.

It is an arithmetic number, because the mean of its divisors is an integer number (9285566400).

Almost surely, 2^{1630840102400} is an apocalyptic number.

1630840102400 is a gapful number since it is divisible by the number (10) 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 1630840102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228535936000).

1630840102400 is an abundant number, since it is smaller than the sum of its proper divisors (2826231769600).

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

1630840102400 is a wasteful number, since it uses less digits than its factorization.

1630840102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1630840102400 its reverse (42010480361), we get a palindrome (1672850582761).

The spelling of 1630840102400 in words is "one trillion, six hundred thirty billion, eight hundred forty million, one hundred two thousand, four hundred".