4212700727040 has 864 divisors, whose sum is σ = 17156485172736. Its totient is φ = 944473374720.

The previous prime is 4212700727021. The next prime is 4212700727069. The reversal of 4212700727040 is 407270072124.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4212700726986 and 4212700727004.

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 95 ways as a sum of consecutive naturals, for example, 78896832 + ... + 78950208.

It is an arithmetic number, because the mean of its divisors is an integer number (19857043024).

Almost surely, 2^{4212700727040} is an apocalyptic number.

4212700727040 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 4212700727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578242586368).

4212700727040 is an abundant number, since it is smaller than the sum of its proper divisors (12943784445696).

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

4212700727040 is a wasteful number, since it uses less digits than its factorization.

4212700727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53465 (or 53448 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

Adding to 4212700727040 its reverse (407270072124), we get a palindrome (4619970799164).

The spelling of 4212700727040 in words is "four trillion, two hundred twelve billion, seven hundred million, seven hundred twenty-seven thousand, forty".