6156422010400 has 432 divisors, whose sum is σ = 16845864998760. Its totient is φ = 2188050432000.

The previous prime is 6156422010373. The next prime is 6156422010407. The reversal of 6156422010400 is 40102246516.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5406955024 + 6151015055376 = 73532^2 + 2480124^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (6156422010407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 535847856 + ... + 535859344.

Almost surely, 2^{6156422010400} 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 6156422010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422932499380).

6156422010400 is an abundant number, since it is smaller than the sum of its proper divisors (10689442988360).

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

6156422010400 is a wasteful number, since it uses less digits than its factorization.

6156422010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11629 (or 11585 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 6156422010400 its reverse (40102246516), we get a palindrome (6196524256916).

The spelling of 6156422010400 in words is "six trillion, one hundred fifty-six billion, four hundred twenty-two million, ten thousand, four hundred".