4012070400 has 960 divisors, whose sum is σ = 17048908800. Its totient is φ = 915701760.

The previous prime is 4012070399. The next prime is 4012070407. The reversal of 4012070400 is 40702104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012070407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85363177 + ... + 85363223.

It is an arithmetic number, because the mean of its divisors is an integer number (17759280).

Almost surely, 2^4012070400 is an apocalyptic number.

4012070400 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 4012070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524454400).

4012070400 is an abundant number, since it is smaller than the sum of its proper divisors (13036838400).

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

4012070400 is a wasteful number, since it uses less digits than its factorization.

4012070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4012070400 is about 63340.9062139152. The cubic root of 4012070400 is about 1588.9961623789.

Adding to 4012070400 its reverse (40702104), we get a palindrome (4052772504).

The spelling of 4012070400 in words is "four billion, twelve million, seventy thousand, four hundred".