6411275366400 has 1872 divisors, whose sum is σ = 25819499827200. Its totient is φ = 1555100467200.

The previous prime is 6411275366393. The next prime is 6411275366429. The reversal of 6411275366400 is 46635721146.

6411275366400 is a `hidden beast` number, since 6 + 4 + 11 + 275 + 366 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×6411275366400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50482483137 + ... + 50482483263.

Almost surely, 2^{6411275366400} is an apocalyptic number.

6411275366400 is a gapful number since it is divisible by the number (60) 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 6411275366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909749913600).

6411275366400 is an abundant number, since it is smaller than the sum of its proper divisors (19408224460800).

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

6411275366400 is a wasteful number, since it uses less digits than its factorization.

6411275366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6411275366400 in words is "six trillion, four hundred eleven billion, two hundred seventy-five million, three hundred sixty-six thousand, four hundred".