6151342400 has 252 divisors, whose sum is σ = 18182514816. Its totient is φ = 2040192000.

The previous prime is 6151342399. The next prime is 6151342403. The reversal of 6151342400 is 42431516.

It is a self number, because there is not a number n which added to its sum of digits gives 6151342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6151342403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2429135 + ... + 2431665.

Almost surely, 2^6151342400 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 6151342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091257408).

6151342400 is an abundant number, since it is smaller than the sum of its proper divisors (12031172416).

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

6151342400 is a wasteful number, since it uses less digits than its factorization.

6151342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 6151342400 is about 78430.4940695900. The cubic root of 6151342400 is about 1832.2720939845.

Adding to 6151342400 its reverse (42431516), we get a palindrome (6193773916).

The spelling of 6151342400 in words is "six billion, one hundred fifty-one million, three hundred forty-two thousand, four hundred".