6401126670120 has 512 divisors, whose sum is σ = 26330476032000. Its totient is φ = 1346996044800.

The previous prime is 6401126670067. The next prime is 6401126670151. The reversal of 6401126670120 is 210766211046.

6401126670120 is a `hidden beast` number, since 6 + 401 + 1 + 2 + 66 + 70 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37162195 + ... + 37334045.

It is an arithmetic number, because the mean of its divisors is an integer number (51426711000).

Almost surely, 2^{6401126670120} is an apocalyptic number.

6401126670120 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 6401126670120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165238016000).

6401126670120 is an abundant number, since it is smaller than the sum of its proper divisors (19929349361880).

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

6401126670120 is a wasteful number, since it uses less digits than its factorization.

6401126670120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172270 (or 172260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 6401126670120 in words is "six trillion, four hundred one billion, one hundred twenty-six million, six hundred seventy thousand, one hundred twenty".