4378011213312 has 400 divisors, whose sum is σ = 14314648361904. Its totient is φ = 1321132032000.

The previous prime is 4378011213269. The next prime is 4378011213313. The reversal of 4378011213312 is 2133121108734.

4378011213312 is a `hidden beast` number, since 43 + 7 + 80 + 11 + 213 + 312 = 666.

It is a super-2 number, since 2×4378011213312² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4378011213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109922362 + ... + 109962182.

Almost surely, 2^{4378011213312} 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 4378011213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157324180952).

4378011213312 is an abundant number, since it is smaller than the sum of its proper divisors (9936637148592).

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

4378011213312 is a wasteful number, since it uses less digits than its factorization.

4378011213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40103 (or 40078 counting only the distinct ones).

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

The spelling of 4378011213312 in words is "four trillion, three hundred seventy-eight billion, eleven million, two hundred thirteen thousand, three hundred twelve".