36001211400 has 1920 divisors, whose sum is σ = 172846080000. Its totient is φ = 6858432000.

The previous prime is 36001211399. The next prime is 36001211437. The reversal of 36001211400 is 411210063.

It is a happy number.

36001211400 is a `hidden beast` number, since 3 + 600 + 1 + 21 + 1 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1161329385 + ... + 1161329415.

It is an arithmetic number, because the mean of its divisors is an integer number (90024000).

Almost surely, 2^36001211400 is an apocalyptic number.

36001211400 is a gapful number since it is divisible by the number (30) 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 36001211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040000).

36001211400 is an abundant number, since it is smaller than the sum of its proper divisors (136844868600).

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

36001211400 is a wasteful number, since it uses less digits than its factorization.

36001211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 36001211400 its reverse (411210063), we get a palindrome (36412421463).

The spelling of 36001211400 in words is "thirty-six billion, one million, two hundred eleven thousand, four hundred".