4112178470400 has 5760 divisors, whose sum is σ = 20990616514560. Its totient is φ = 693633024000.

The previous prime is 4112178470347. The next prime is 4112178470437. The reversal of 4112178470400 is 40748712114.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 132650918385 + ... + 132650918415.

It is an arithmetic number, because the mean of its divisors is an integer number (3644204256).

Almost surely, 2^{4112178470400} is an apocalyptic number.

4112178470400 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 4112178470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495308257280).

4112178470400 is an abundant number, since it is smaller than the sum of its proper divisors (16878438044160).

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

4112178470400 is a wasteful number, since it uses less digits than its factorization.

4112178470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 4112178470400 in words is "four trillion, one hundred twelve billion, one hundred seventy-eight million, four hundred seventy thousand, four hundred".