4118197286400 has 720 divisors, whose sum is σ = 15212913840960. Its totient is φ = 979137331200.

The previous prime is 4118197286363. The next prime is 4118197286407. The reversal of 4118197286400 is 46827918114.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118197286407) 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, 210844635 + ... + 210864165.

Almost surely, 2^{4118197286400} is an apocalyptic number.

4118197286400 is a gapful number since it is divisible by the number (40) 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 4118197286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606456920480).

4118197286400 is an abundant number, since it is smaller than the sum of its proper divisors (11094716554560).

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

4118197286400 is a wasteful number, since it uses less digits than its factorization.

4118197286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19615 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 4118197286400 in words is "four trillion, one hundred eighteen billion, one hundred ninety-seven million, two hundred eighty-six thousand, four hundred".