130440240200400 has 480 divisors, whose sum is σ = 453174874951680. Its totient is φ = 31881561815040.

The previous prime is 130440240200393. The next prime is 130440240200443. The reversal of 130440240200400 is 4002042044031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1293704389 + ... + 1293805211.

It is an arithmetic number, because the mean of its divisors is an integer number (944114322816).

Almost surely, 2^{130440240200400} is an apocalyptic number.

130440240200400 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 130440240200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226587437475840).

130440240200400 is an abundant number, since it is smaller than the sum of its proper divisors (322734634751280).

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

130440240200400 is a wasteful number, since it uses less digits than its factorization.

130440240200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101443 (or 101432 counting only the distinct ones).

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

Adding to 130440240200400 its reverse (4002042044031), we get a palindrome (134442282244431).

The spelling of 130440240200400 in words is "one hundred thirty trillion, four hundred forty billion, two hundred forty million, two hundred thousand, four hundred".